40957382140416 has 120 divisors (see below), whose sum is σ = 135092317835904. Its totient is φ = 11702109173760.

The previous prime is 40957382140393. The next prime is 40957382140421. The reversal of 40957382140416 is 61404128375904.

40957382140416 is a `hidden beast` number, since 4 + 0 + 9 + 5 + 7 + 3 + 8 + 214 + 0 + 416 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 634847800 + ... + 634912311.

It is a 1-persistent number, because it is pandigital, but 2⋅40957382140416 = 81914764280832 is not.

Almost surely, 2^{40957382140416} is an apocalyptic number.

It is an amenable number.

40957382140416 is an abundant number, since it is smaller than the sum of its proper divisors (94134935695488).

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

40957382140416 is a wasteful number, since it uses less digits than its factorization.

40957382140416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269760142 (or 1269760123 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 40957382140416 in words is "forty trillion, nine hundred fifty-seven billion, three hundred eighty-two million, one hundred forty thousand, four hundred sixteen".