404080066560 has 512 divisors, whose sum is σ = 1407175908480. Its totient is φ = 98599698432.

The previous prime is 404080066501. The next prime is 404080066601. The reversal of 404080066560 is 65660080404.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×404080066560² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309165427 + ... + 309166733.

Almost surely, 2^404080066560 is an apocalyptic number.

404080066560 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 404080066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703587954240).

404080066560 is an abundant number, since it is smaller than the sum of its proper divisors (1003095841920).

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

404080066560 is a wasteful number, since it uses less digits than its factorization.

404080066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 404080066560 in words is "four hundred four billion, eighty million, sixty-six thousand, five hundred sixty".