416825946994032 has 160 divisors (see below), whose sum is σ = 1262284468544000. Its totient is φ = 131329406453760.

The previous prime is 416825946993977. The next prime is 416825946994043. The reversal of 416825946994032 is 230499649528614.

416825946994032 is a `hidden beast` number, since 4 + 1 + 6 + 82 + 59 + 4 + 6 + 99 + 403 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54235969 + ... + 61442592.

It is an arithmetic number, because the mean of its divisors is an integer number (7889277928400).

Almost surely, 2^{416825946994032} is an apocalyptic number.

It is an amenable number.

416825946994032 is an abundant number, since it is smaller than the sum of its proper divisors (845458521549968).

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

416825946994032 is a wasteful number, since it uses less digits than its factorization.

416825946994032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115679036 (or 115679024 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 416825946994032 in words is "four hundred sixteen trillion, eight hundred twenty-five billion, nine hundred forty-six million, nine hundred ninety-four thousand, thirty-two".