416625825456 has 80 divisors (see below), whose sum is σ = 1258810998400. Its totient is φ = 131566047552.

The previous prime is 416625825419. The next prime is 416625825493. The reversal of 416625825456 is 654528526614.

416625825456 is a `hidden beast` number, since 4 + 1 + 6 + 6 + 2 + 582 + 5 + 4 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (416625825419) and next prime (416625825493).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25371046 + ... + 25387461.

It is an arithmetic number, because the mean of its divisors is an integer number (15735137480).

Almost surely, 2^416625825456 is an apocalyptic number.

It is an amenable number.

416625825456 is an abundant number, since it is smaller than the sum of its proper divisors (842185172944).

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

416625825456 is a wasteful number, since it uses less digits than its factorization.

416625825456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50758543 (or 50758531 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 416625825456 in words is "four hundred sixteen billion, six hundred twenty-five million, eight hundred twenty-five thousand, four hundred fifty-six".