409084399680 has 112 divisors (see below), whose sum is σ = 1416919639104. Its totient is φ = 99171973120.

The previous prime is 409084399649. The next prime is 409084399693. The reversal of 409084399680 is 86993480904.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19358967 + ... + 19380086.

Almost surely, 2^409084399680 is an apocalyptic number.

409084399680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409084399680 is an abundant number, since it is smaller than the sum of its proper divisors (1007835239424).

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

409084399680 is a wasteful number, since it uses less digits than its factorization.

409084399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38739084 (or 38739074 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 409084399680 in words is "four hundred nine billion, eighty-four million, three hundred ninety-nine thousand, six hundred eighty".