404251484152404 has 96 divisors (see below), whose sum is σ = 1079105408640000. Its totient is φ = 115382460188160.

The previous prime is 404251484152333. The next prime is 404251484152429.

404251484152404 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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399514387 + ... + 400524965.

It is an arithmetic number, because the mean of its divisors is an integer number (11240681340000).

Almost surely, 2^{404251484152404} is an apocalyptic number.

It is an amenable number.

404251484152404 is an abundant number, since it is smaller than the sum of its proper divisors (674853924487596).

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

404251484152404 is a wasteful number, since it uses less digits than its factorization.

404251484152404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015453 (or 1015451 counting only the distinct ones).

The product of its (nonzero) digits is 3276800, while the sum is 48.

The spelling of 404251484152404 in words is "four hundred four trillion, two hundred fifty-one billion, four hundred eighty-four million, one hundred fifty-two thousand, four hundred four".