409166088640 has 56 divisors (see below), whose sum is σ = 992710313280. Its totient is φ = 160578382848.

The previous prime is 409166088589. The next prime is 409166088677. The reversal of 409166088640 is 46880661904.

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, 12045720 + ... + 12079639.

It is an arithmetic number, because the mean of its divisors is an integer number (17726969880).

Almost surely, 2^409166088640 is an apocalyptic number.

409166088640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409166088640 is an abundant number, since it is smaller than the sum of its proper divisors (583544224640).

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

409166088640 is a wasteful number, since it uses less digits than its factorization.

409166088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24125429 (or 24125419 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 409166088640 in words is "four hundred nine billion, one hundred sixty-six million, eighty-eight thousand, six hundred forty".