404056342656 has 128 divisors (see below), whose sum is σ = 1244376662400. Its totient is φ = 128829533184.

The previous prime is 404056342637. The next prime is 404056342661. The reversal of 404056342656 is 656243650404.

It is a happy number.

404056342656 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 5 + 634 + 2 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2462131 + ... + 2621106.

It is an arithmetic number, because the mean of its divisors is an integer number (9721692675).

Almost surely, 2^404056342656 is an apocalyptic number.

404056342656 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

404056342656 is an abundant number, since it is smaller than the sum of its proper divisors (840320319744).

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

404056342656 is a wasteful number, since it uses less digits than its factorization.

404056342656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5083283 (or 5083265 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 404056342656 in words is "four hundred four billion, fifty-six million, three hundred forty-two thousand, six hundred fifty-six".