409531199616 has 1920 divisors, whose sum is σ = 1692828720000. Its totient is φ = 97298288640.

The previous prime is 409531199599. The next prime is 409531199657. The reversal of 409531199616 is 616991135904.

It is a happy number.

409531199616 is a `hidden beast` number, since 4 + 0 + 9 + 5 + 3 + 1 + 19 + 9 + 616 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14121765490 + ... + 14121765518.

It is an arithmetic number, because the mean of its divisors is an integer number (881681625).

Almost surely, 2^409531199616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409531199616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846414360000).

409531199616 is an abundant number, since it is smaller than the sum of its proper divisors (1283297520384).

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

409531199616 is a wasteful number, since it uses less digits than its factorization.

409531199616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 409531199616 in words is "four hundred nine billion, five hundred thirty-one million, one hundred ninety-nine thousand, six hundred sixteen".