40416434567712 has 144 divisors (see below), whose sum is σ = 131356792711872. Its totient is φ = 11547255559680.

The previous prime is 40416434567681. The next prime is 40416434567783. The reversal of 40416434567712 is 21776543461404.

40416434567712 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 6 + 4 + 3 + 4 + 567 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×40416434567712² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85102498 + ... + 85576094.

It is an arithmetic number, because the mean of its divisors is an integer number (912199949388).

Almost surely, 2^{40416434567712} is an apocalyptic number.

40416434567712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40416434567712 is an abundant number, since it is smaller than the sum of its proper divisors (90940358144160).

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

40416434567712 is a wasteful number, since it uses less digits than its factorization.

40416434567712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515951 (or 515940 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 40416434567712 in words is "forty trillion, four hundred sixteen billion, four hundred thirty-four million, five hundred sixty-seven thousand, seven hundred twelve".