40272088102164 has 144 divisors (see below), whose sum is σ = 110476839083520. Its totient is φ = 12335194460160.

The previous prime is 40272088102093. The next prime is 40272088102223. The reversal of 40272088102164 is 46120188027204.

40272088102164 is a `hidden beast` number, since 40 + 272 + 0 + 88 + 102 + 164 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5899597 + ... + 10740084.

Almost surely, 2^{40272088102164} is an apocalyptic number.

It is an amenable number.

40272088102164 is an abundant number, since it is smaller than the sum of its proper divisors (70204750981356).

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

40272088102164 is a wasteful number, since it uses less digits than its factorization.

40272088102164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16639830 (or 16639825 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 40272088102164 in words is "forty trillion, two hundred seventy-two billion, eighty-eight million, one hundred two thousand, one hundred sixty-four".