409680843860320 has 48 divisors (see below), whose sum is σ = 967876465908240. Its totient is φ = 163871411019264.

The previous prime is 409680843860311. The next prime is 409680843860357. The reversal of 409680843860320 is 23068348086904.

It is a super-2 number, since 2×409680843860320² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21504346 + ... + 35802214.

It is an arithmetic number, because the mean of its divisors is an integer number (20164093039755).

Almost surely, 2^{409680843860320} is an apocalyptic number.

409680843860320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409680843860320 is an abundant number, since it is smaller than the sum of its proper divisors (558195622047920).

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

409680843860320 is a wasteful number, since it uses less digits than its factorization.

409680843860320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14476967 (or 14476959 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 61.

The spelling of 409680843860320 in words is "four hundred nine trillion, six hundred eighty billion, eight hundred forty-three million, eight hundred sixty thousand, three hundred twenty".