409472322336 has 240 divisors, whose sum is σ = 1501399247040. Its totient is φ = 106356395520.

The previous prime is 409472322307. The next prime is 409472322409. The reversal of 409472322336 is 633223274904.

409472322336 is a `hidden beast` number, since 40 + 9 + 47 + 232 + 2 + 336 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 409472322291 and 409472322300.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 826231 + ... + 1225398.

It is an arithmetic number, because the mean of its divisors is an integer number (6255830196).

Almost surely, 2^409472322336 is an apocalyptic number.

It is an amenable number.

409472322336 is an abundant number, since it is smaller than the sum of its proper divisors (1091926924704).

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

409472322336 is a wasteful number, since it uses less digits than its factorization.

409472322336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051669 (or 2051652 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 409472322336 in words is "four hundred nine billion, four hundred seventy-two million, three hundred twenty-two thousand, three hundred thirty-six".