404639761680 has 1600 divisors, whose sum is σ = 1827535530240. Its totient is φ = 81556070400.

The previous prime is 404639761627. The next prime is 404639761703. The reversal of 404639761680 is 86167936404.

404639761680 is a `hidden beast` number, since 4 + 0 + 463 + 97 + 6 + 16 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2338958074 + ... + 2338958246.

Almost surely, 2^404639761680 is an apocalyptic number.

404639761680 is a gapful number since it is divisible by the number (40) 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 404639761680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913767765120).

404639761680 is an abundant number, since it is smaller than the sum of its proper divisors (1422895768560).

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

404639761680 is a wasteful number, since it uses less digits than its factorization.

404639761680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 404639761680 in words is "four hundred four billion, six hundred thirty-nine million, seven hundred sixty-one thousand, six hundred eighty".