415859942037672 has 96 divisors (see below), whose sum is σ = 1228682098294560. Its totient is φ = 126017651760000.

The previous prime is 415859942037653. The next prime is 415859942037773. The reversal of 415859942037672 is 276730249958514.

415859942037672 is a `hidden beast` number, since 4 + 1 + 5 + 8 + 599 + 4 + 20 + 3 + 7 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 415859942037672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223638547 + ... + 225490397.

It is an arithmetic number, because the mean of its divisors is an integer number (12798771857235).

It is a 1-persistent number, because it is pandigital, but 2⋅415859942037672 = 831719884075344 is not.

Almost surely, 2^{415859942037672} is an apocalyptic number.

It is an amenable number.

415859942037672 is an abundant number, since it is smaller than the sum of its proper divisors (812822156256888).

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

415859942037672 is a wasteful number, since it uses less digits than its factorization.

415859942037672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135415 (or 2135408 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 415859942037672 in words is "four hundred fifteen trillion, eight hundred fifty-nine billion, nine hundred forty-two million, thirty-seven thousand, six hundred seventy-two".