404564202465404 has 48 divisors (see below), whose sum is σ = 718350781948800. Its totient is φ = 199343853273600.

The previous prime is 404564202465359. The next prime is 404564202465421.

It is a happy number.

404564202465404 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63229277 + ... + 69333035.

It is an arithmetic number, because the mean of its divisors is an integer number (14965641290600).

Almost surely, 2^{404564202465404} is an apocalyptic number.

It is an amenable number.

404564202465404 is a deficient number, since it is larger than the sum of its proper divisors (313786579483396).

404564202465404 is a wasteful number, since it uses less digits than its factorization.

404564202465404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6104694 (or 6104692 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 50.

The spelling of 404564202465404 in words is "four hundred four trillion, five hundred sixty-four billion, two hundred two million, four hundred sixty-five thousand, four hundred four".