409269248640 has 256 divisors, whose sum is σ = 1656566496000. Its totient is φ = 93547229184.

The previous prime is 409269248627. The next prime is 409269248681. The reversal of 409269248640 is 46842962904.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1570795 + ... + 1812714.

It is an arithmetic number, because the mean of its divisors is an integer number (6470962875).

Almost surely, 2^409269248640 is an apocalyptic number.

409269248640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409269248640 is an abundant number, since it is smaller than the sum of its proper divisors (1247297247360).

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

409269248640 is a wasteful number, since it uses less digits than its factorization.

409269248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3383544 (or 3383526 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 409269248640 in words is "four hundred nine billion, two hundred sixty-nine million, two hundred forty-eight thousand, six hundred forty".