409677290568 has 432 divisors, whose sum is σ = 1443481619580. Its totient is φ = 108037939968.

The previous prime is 409677290551. The next prime is 409677290573. The reversal of 409677290568 is 865092776904.

409677290568 is a `hidden beast` number, since 4 + 0 + 9 + 67 + 7 + 2 + 9 + 0 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 393256918404 + 16420372164 = 627102^2 + 128142^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 33428730 + ... + 33440982.

Almost surely, 2^409677290568 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 409677290568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721740809790).

409677290568 is an abundant number, since it is smaller than the sum of its proper divisors (1033804329012).

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

409677290568 is a wasteful number, since it uses less digits than its factorization.

409677290568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12310 (or 12278 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 409677290568 in words is "four hundred nine billion, six hundred seventy-seven million, two hundred ninety thousand, five hundred sixty-eight".