404026553664 has 280 divisors, whose sum is σ = 1264244319360. Its totient is φ = 127228299264.

The previous prime is 404026553659. The next prime is 404026553669. The reversal of 404026553664 is 466355620404.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (404026553659) and next prime (404026553669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404026553669) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36142444 + ... + 36153620.

Almost surely, 2^404026553664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404026553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632122159680).

404026553664 is an abundant number, since it is smaller than the sum of its proper divisors (860217765696).

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

404026553664 is a wasteful number, since it uses less digits than its factorization.

404026553664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11587 (or 11568 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 404026553664 in words is "four hundred four billion, twenty-six million, five hundred fifty-three thousand, six hundred sixty-four".