diff --git a/devito/ir/cgen/printer.py b/devito/ir/cgen/printer.py
index 3f87496c62..8ef479955e 100644
--- a/devito/ir/cgen/printer.py
+++ b/devito/ir/cgen/printer.py
@@ -415,7 +415,7 @@ def _print_DefFunction(self, expr):
         return f"{expr.name}{template}({args})"
 
     def _print_SizeOf(self, expr):
-        return f'sizeof({self._print(expr.intype)}{self._print(expr.stars)})'
+        return f'sizeof({self._print(expr.ctype)}{self._print(expr.stars)})'
 
     def _print_MathFunction(self, expr):
         return f"{self.ns(expr)}{self._print_DefFunction(expr)}"
diff --git a/devito/symbolics/extended_sympy.py b/devito/symbolics/extended_sympy.py
index 41e6ed7547..86979c8bbd 100644
--- a/devito/symbolics/extended_sympy.py
+++ b/devito/symbolics/extended_sympy.py
@@ -980,7 +980,6 @@ class SizeOf(DefFunction):
     __rargs__ = ('intype', 'stars')
 
     def __new__(cls, intype, stars=None, **kwargs):
-        stars = stars or ''
         if not isinstance(intype, (str, ReservedWord)):
             ctype = dtype_to_ctype(intype)
             for k, v in ctypes_vector_mapper.items():
@@ -990,15 +989,40 @@ def __new__(cls, intype, stars=None, **kwargs):
             else:
                 intype = ctypes_to_cstr(ctype)
 
-        newobj = super().__new__(cls, 'sizeof', arguments=f'{intype}{stars}', **kwargs)
-        newobj.stars = stars
-        newobj.intype = intype
+        stars = stars or ''
+        if not all(c == '*' for c in str(stars)):
+            raise ValueError("`stars` must be a string of zero or more `*` characters")
+
+        if not isinstance(intype, (str, ReservedWord)):
+            intype = ctypes_vector_mapper[intype].__name__
 
-        return newobj
+        return super().__new__(cls, 'sizeof', arguments=(intype, stars), **kwargs)
 
     @property
     def args(self):
-        return super().args[1]
+        return self._arguments
+
+    @property
+    def intype(self):
+        return self.arguments[0]
+
+    @cached_property
+    def ctype(self):
+        for v in ctypes_vector_mapper.values():
+            if str(self.intype) == v.__name__:
+                return v
+        return self.intype
+
+    @property
+    def stars(self):
+        return self.arguments[1]
+
+    def __str__(self):
+        try:
+            intype = ctypes_to_cstr(self.ctype)
+        except TypeError:
+            intype = str(self.ctype)
+        return f"sizeof({intype}{self.stars})"
 
 
 def rfunc(func, item, *args):
diff --git a/tests/test_symbolics.py b/tests/test_symbolics.py
index 5af78117a2..aab8502a20 100644
--- a/tests/test_symbolics.py
+++ b/tests/test_symbolics.py
@@ -1,4 +1,4 @@
-from ctypes import c_void_p
+from ctypes import c_uint64, c_void_p
 
 import numpy as np
 import pytest
@@ -1262,6 +1262,30 @@ def test_print_div():
     assert cstr == 'sizeof(int)/sizeof(long)'
 
 
+def test_sizeof():
+    sizeof_ctype = SizeOf(c_uint64)
+    str_pointer0 = SizeOf('float', stars='*')
+    str_pointer1 = SizeOf('float', '*')
+    str_simple = SizeOf('int')
+    complex_size = SizeOf(np.complex64)
+
+    assert sizeof_ctype.arguments == (ReservedWord('unsigned long'), ReservedWord(''))
+    assert str_pointer0.arguments == (ReservedWord('float'), ReservedWord('*'))
+    assert complex_size.arguments == (ReservedWord('c_complex'), ReservedWord(''))
+
+    # Printing
+    assert ccode(sizeof_ctype) == 'sizeof(unsigned long)'
+    assert ccode(str_pointer0) == ccode(str_pointer1) == 'sizeof(float*)'
+    assert ccode(str_simple) == 'sizeof(int)'
+    assert str(complex_size) == 'sizeof(c_complex)'
+    assert ccode(complex_size) == 'sizeof(float _Complex)'
+
+    # Reconstruction
+    assert ccode(str_pointer0.func(*str_pointer0.args)) == 'sizeof(float*)'
+    assert ccode(str_pointer0.func('int', stars='**')) == 'sizeof(int**)'
+    assert ccode(complex_size.func(*complex_size.args)) == 'sizeof(float _Complex)'
+
+
 def test_customdtype_complex():
     """
     Test that `CustomDtype` doesn't brak is_imag