404403377664 has 640 divisors, whose sum is σ = 1297806935040. Its totient is φ = 110297088000.

The previous prime is 404403377647. The next prime is 404403377687. The reversal of 404403377664 is 466773304404.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2678167989 + ... + 2678168139.

It is an arithmetic number, because the mean of its divisors is an integer number (2027823336).

Almost surely, 2^404403377664 is an apocalyptic number.

404403377664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404403377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648903467520).

404403377664 is an abundant number, since it is smaller than the sum of its proper divisors (893403557376).

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

404403377664 is a wasteful number, since it uses less digits than its factorization.

404403377664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 48.

The spelling of 404403377664 in words is "four hundred four billion, four hundred three million, three hundred seventy-seven thousand, six hundred sixty-four".