409840675344 has 75 divisors (see below), whose sum is σ = 1186264526623. Its totient is φ = 136605876192.

The previous prime is 409840675339. The next prime is 409840675373. The reversal of 409840675344 is 443576048904.

The square root of 409840675344 is 640188.

It is a perfect power (a square), and thus also a powerful number.

409840675344 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 40 + 67 + 534 + 4 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 23037877 + ... + 23055659.

Almost surely, 2^409840675344 is an apocalyptic number.

409840675344 is the 640188-th square number.

It is an amenable number.

409840675344 is an abundant number, since it is smaller than the sum of its proper divisors (776423851279).

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

409840675344 is an frugal number, since it uses more digits than its factorization.

409840675344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35586 (or 17788 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 409840675344 in words is "four hundred nine billion, eight hundred forty million, six hundred seventy-five thousand, three hundred forty-four".