40112683516160 has 72 divisors (see below), whose sum is σ = 96115359958296. Its totient is φ = 16039571374080.

The previous prime is 40112683516133. The next prime is 40112683516163. The reversal of 40112683516160 is 6161538621104.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5720745508864 + 34391938007296 = 2391808^2 + 5864464^2 .

It is a super-2 number, since 2×40112683516160² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40112683516163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1637861 + ... + 9105380.

Almost surely, 2^{40112683516160} is an apocalyptic number.

40112683516160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40112683516160 is an abundant number, since it is smaller than the sum of its proper divisors (56002676442136).

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

40112683516160 is a wasteful number, since it uses less digits than its factorization.

40112683516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10746179 (or 10746165 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 40112683516160 in words is "forty trillion, one hundred twelve billion, six hundred eighty-three million, five hundred sixteen thousand, one hundred sixty".