404168457312 has 72 divisors (see below), whose sum is σ = 1216963127016. Its totient is φ = 126797945856.

The previous prime is 404168457299. The next prime is 404168457359. The reversal of 404168457312 is 213754861404.

404168457312 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 68 + 4 + 573 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41270478 + ... + 41280269.

It is an arithmetic number, because the mean of its divisors is an integer number (16902265653).

Almost surely, 2^404168457312 is an apocalyptic number.

It is an amenable number.

404168457312 is an abundant number, since it is smaller than the sum of its proper divisors (812794669704).

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

404168457312 is a wasteful number, since it uses less digits than its factorization.

404168457312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82550780 (or 82550769 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 404168457312 in words is "four hundred four billion, one hundred sixty-eight million, four hundred fifty-seven thousand, three hundred twelve".