Given 26 constants labelled A to Z, let $A = 1$.
The rest of the constants have values that are equal to the position of that letter in the alphabet, raised to the power of the previous constant, so:
- $A = 1$
- $B$ (the letter in the second position) $= 2^A = 2^1 = 2$
- $C$ (the letter in the third position) $= 3^B = 3^2 = 9$
Find the exact numerical value for this expression:
$(N-A) * (N-B) * (N-C) * ... * (N-Y) * (N-Z)$