40060772692164 has 405 divisors, whose sum is σ = 122933609910111. Its totient is φ = 11342715884640.

The previous prime is 40060772692091. The next prime is 40060772692219. The reversal of 40060772692164 is 46129627706004.

The square root of 40060772692164 is 6329358.

It is a perfect power (a square), and thus also a powerful number.

40060772692164 is a `hidden beast` number, since 4 + 0 + 0 + 607 + 7 + 2 + 6 + 9 + 21 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 40060772692164.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 152322329497 + ... + 152322329759.

Almost surely, 2^{40060772692164} is an apocalyptic number.

40060772692164 is the 6329358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40060772692164

40060772692164 is an abundant number, since it is smaller than the sum of its proper divisors (82872837217947).

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

40060772692164 is an equidigital number, since it uses as much as digits as its factorization.

40060772692164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 40060772692164 in words is "forty trillion, sixty billion, seven hundred seventy-two million, six hundred ninety-two thousand, one hundred sixty-four".