404455063256664 has 128 divisors (see below), whose sum is σ = 1216429564416000. Its totient is φ = 109474456155264.

The previous prime is 404455063256663. The next prime is 404455063256711. The reversal of 404455063256664 is 466652360554404.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 404455063256598 and 404455063256607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404455063256663) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 168748887 + ... + 171128889.

It is an arithmetic number, because the mean of its divisors is an integer number (9503355972000).

Almost surely, 2^{404455063256664} is an apocalyptic number.

It is an amenable number.

404455063256664 is an abundant number, since it is smaller than the sum of its proper divisors (811974501159336).

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

404455063256664 is a wasteful number, since it uses less digits than its factorization.

404455063256664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433277 (or 2433273 counting only the distinct ones).

The product of its (nonzero) digits is 248832000, while the sum is 60.

The spelling of 404455063256664 in words is "four hundred four trillion, four hundred fifty-five billion, sixty-three million, two hundred fifty-six thousand, six hundred sixty-four".