40886867872656 has 375 divisors, whose sum is σ = 128321745533223. Its totient is φ = 12568604630400.

The previous prime is 40886867872649. The next prime is 40886867872681. The reversal of 40886867872656 is 65627876868804.

The square root of 40886867872656 is 6394284.

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

40886867872656 is a `hidden beast` number, since 408 + 8 + 6 + 8 + 67 + 87 + 26 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20272362170256 + 20614505702400 = 4502484^2 + 4540320^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 38902823331 + ... + 38902824381.

Almost surely, 2^{40886867872656} is an apocalyptic number.

40886867872656 is the 6394284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40886867872656

40886867872656 is an abundant number, since it is smaller than the sum of its proper divisors (87434877660567).

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

40886867872656 is an frugal number, since it uses more digits than its factorization.

40886867872656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 10404495360, while the sum is 81.

40886867872656 divided by its sum of digits (81) gives a square (504776146576 = 710476²).

The spelling of 40886867872656 in words is "forty trillion, eight hundred eighty-six billion, eight hundred sixty-seven million, eight hundred seventy-two thousand, six hundred fifty-six".