404760890016 has 72 divisors (see below), whose sum is σ = 1315472899104. Its totient is φ = 115645968000.

The previous prime is 404760889997. The next prime is 404760890021. The reversal of 404760890016 is 610098067404.

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

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, 100385110 + ... + 100389141.

It is an arithmetic number, because the mean of its divisors is an integer number (18270456932).

Almost surely, 2^404760890016 is an apocalyptic number.

It is an amenable number.

404760890016 is an abundant number, since it is smaller than the sum of its proper divisors (910712009088).

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

404760890016 is a wasteful number, since it uses less digits than its factorization.

404760890016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200774274 (or 200774263 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 404760890016 in words is "four hundred four billion, seven hundred sixty million, eight hundred ninety thousand, sixteen".