CAS: (2^10)! is undefined?

[Aries]

Factorials of large numbers are often necessary to evaluate binomial distributions for the statistics.
An accurate approximation is Stirling's approximation (also helpful for approximating the log of a factorial):

n! = (n^n)*(e^(-n))*(sqrt(2*pi*n))

But at the end of the day … you have to use logs of logs …
Best,

Aries