404377372404 has 36 divisors (see below), whose sum is σ = 1024604146020. Its totient is φ = 134472280320.

The previous prime is 404377372391. The next prime is 404377372411. The reversal of 404377372404 is 404273773404.

404377372404 is a `hidden beast` number, since 4 + 0 + 4 + 377 + 37 + 240 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34350915600 + 370026456804 = 185340^2 + 608298^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 404377372404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13325349 + ... + 13355660.

Almost surely, 2^404377372404 is an apocalyptic number.

It is an amenable number.

404377372404 is an abundant number, since it is smaller than the sum of its proper divisors (620226773616).

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

404377372404 is a wasteful number, since it uses less digits than its factorization.

404377372404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26681440 (or 26681435 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 45.

The spelling of 404377372404 in words is "four hundred four billion, three hundred seventy-seven million, three hundred seventy-two thousand, four hundred four".