409004240833224 has 96 divisors (see below), whose sum is σ = 1110281169816000. Its totient is φ = 136019603377536.

The previous prime is 409004240833157. The next prime is 409004240833231. The reversal of 409004240833224 is 422338042400904.

It is a happy number.

409004240833224 is a `hidden beast` number, since 4 + 0 + 9 + 0 + 0 + 4 + 240 + 83 + 322 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 409004240833224.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196640962 + ... + 198710030.

It is an arithmetic number, because the mean of its divisors is an integer number (11565428852250).

Almost surely, 2^{409004240833224} is an apocalyptic number.

It is an amenable number.

409004240833224 is an abundant number, since it is smaller than the sum of its proper divisors (701276928982776).

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

409004240833224 is a wasteful number, since it uses less digits than its factorization.

409004240833224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075427 (or 2075420 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 409004240833224 in words is "four hundred nine trillion, four billion, two hundred forty million, eight hundred thirty-three thousand, two hundred twenty-four".