409679651676960 has 1536 divisors, whose sum is σ = 1665999335669760. Its totient is φ = 92096505446400.

The previous prime is 409679651676937. The next prime is 409679651677003. The reversal of 409679651676960 is 69676156976904.

It is a happy number.

409679651676960 is a `hidden beast` number, since 4 + 0 + 9 + 6 + 7 + 9 + 6 + 516 + 7 + 6 + 96 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 409679651676960.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 499000793350 + ... + 499000794170.

It is an arithmetic number, because the mean of its divisors is an integer number (1084634984160).

Almost surely, 2^{409679651676960} is an apocalyptic number.

409679651676960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409679651676960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832999667834880).

409679651676960 is an abundant number, since it is smaller than the sum of its proper divisors (1256319683992800).

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

409679651676960 is a wasteful number, since it uses less digits than its factorization.

409679651676960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 5555329920, while the sum is 81.

The spelling of 409679651676960 in words is "four hundred nine trillion, six hundred seventy-nine billion, six hundred fifty-one million, six hundred seventy-six thousand, nine hundred sixty".