40712790162564 has 576 divisors, whose sum is σ = 119285598432000. Its totient is φ = 12062061527040.

The previous prime is 40712790162559. The next prime is 40712790162581. The reversal of 40712790162564 is 46526109721704.

40712790162564 is a `hidden beast` number, since 4 + 0 + 7 + 1 + 2 + 7 + 9 + 0 + 1 + 625 + 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 40712790162564.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14810035062 + ... + 14810037810.

Almost surely, 2^{40712790162564} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40712790162564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59642799216000).

40712790162564 is an abundant number, since it is smaller than the sum of its proper divisors (78572808269436).

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

40712790162564 is a wasteful number, since it uses less digits than its factorization.

40712790162564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 40712790162564 in words is "forty trillion, seven hundred twelve billion, seven hundred ninety million, one hundred sixty-two thousand, five hundred sixty-four".