To solve the expression $4^3 - (16 - 3 \times 4 + 5) \times 0 + 10$, follow the order of operations (PEMDAS/BODMAS):

1. Exponentiation: $4^3 = 64$.
2. Inside the parenthesis:
   • Multiplication: $3 \times 4 = 12$.
   • Subtraction and addition: $16 - 12 + 5 = 9$.
3. Continuing outside:
   • The expression becomes: $64 - (9) \times 0 + 10$.
   • Any number multiplied by 0 is 0. So: $9 \times 0 = 0$.
   • Now we have: $64 - 0 + 10$.
4. Addition and subtraction:
   • $64 + 10 = 74$.

The result is $74$.