409392340812 has 288 divisors, whose sum is σ = 1291481073792. Its totient is φ = 106469572608.

The previous prime is 409392340807. The next prime is 409392340829. The reversal of 409392340812 is 218043293904.

409392340812 is a `hidden beast` number, since 409 + 3 + 9 + 234 + 0 + 8 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93104998 + ... + 93109394.

It is an arithmetic number, because the mean of its divisors is an integer number (4484309284).

Almost surely, 2^409392340812 is an apocalyptic number.

409392340812 is a gapful number since it is divisible by the number (42) 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 409392340812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645740536896).

409392340812 is an abundant number, since it is smaller than the sum of its proper divisors (882088732980).

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

409392340812 is a wasteful number, since it uses less digits than its factorization.

409392340812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4817 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 409392340812 in words is "four hundred nine billion, three hundred ninety-two million, three hundred forty thousand, eight hundred twelve".