40957079933952 has 1584 divisors, whose sum is σ = 153591252841728. Its totient is φ = 10273200537600.

The previous prime is 40957079933947. The next prime is 40957079933977. The reversal of 40957079933952 is 25933997075904.

40957079933952 is a `hidden beast` number, since 4 + 0 + 95 + 70 + 7 + 99 + 339 + 52 = 666.

It is a super-2 number, since 2×40957079933952² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58426647202 + ... + 58426647902.

Almost surely, 2^{40957079933952} is an apocalyptic number.

40957079933952 is a gapful number since it is divisible by the number (42) 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 40957079933952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76795626420864).

40957079933952 is an abundant number, since it is smaller than the sum of its proper divisors (112634172907776).

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

40957079933952 is a wasteful number, since it uses less digits than its factorization.

40957079933952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 578680200, while the sum is 72.

The spelling of 40957079933952 in words is "forty trillion, nine hundred fifty-seven billion, seventy-nine million, nine hundred thirty-three thousand, nine hundred fifty-two".