40253936256 has 320 divisors, whose sum is σ = 127171968000. Its totient is φ = 12603838464.

The previous prime is 40253936227. The next prime is 40253936267. The reversal of 40253936256 is 65263935204.

40253936256 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 393 + 6 + 256 = 666.

It is a super-2 number, since 2×40253936256² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25017180 + ... + 25018788.

It is an arithmetic number, because the mean of its divisors is an integer number (397412400).

Almost surely, 2^40253936256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40253936256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63585984000).

40253936256 is an abundant number, since it is smaller than the sum of its proper divisors (86918031744).

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

40253936256 is a wasteful number, since it uses less digits than its factorization.

40253936256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 40253936256 in words is "forty billion, two hundred fifty-three million, nine hundred thirty-six thousand, two hundred fifty-six".