40236906796800 has 1944 divisors, whose sum is σ = 166161327244416. Its totient is φ = 8546921349120.

The previous prime is 40236906796769. The next prime is 40236906796829. The reversal of 40236906796800 is 869760963204.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 22566968709 + ... + 22566970491.

Almost surely, 2^{40236906796800} is an apocalyptic number.

40236906796800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40236906796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83080663622208).

40236906796800 is an abundant number, since it is smaller than the sum of its proper divisors (125924420447616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40236906796800 is a wasteful number, since it uses less digits than its factorization.

40236906796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1943 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 40236906796800 in words is "forty trillion, two hundred thirty-six billion, nine hundred six million, seven hundred ninety-six thousand, eight hundred".