408795861096 has 256 divisors, whose sum is σ = 1320050688000. Its totient is φ = 114810151680.

The previous prime is 408795861077. The next prime is 408795861107. The reversal of 408795861096 is 690168597804.

408795861096 is a `hidden beast` number, since 4 + 0 + 8 + 7 + 9 + 5 + 8 + 610 + 9 + 6 = 666.

It is a super-3 number, since 3×408795861096³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 63 ways as a sum of consecutive naturals, for example, 20920851 + ... + 20940381.

It is an arithmetic number, because the mean of its divisors is an integer number (5156448000).

Almost surely, 2^408795861096 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 408795861096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660025344000).

408795861096 is an abundant number, since it is smaller than the sum of its proper divisors (911254826904).

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

408795861096 is a wasteful number, since it uses less digits than its factorization.

408795861096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19789 (or 19779 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 408795861096 in words is "four hundred eight billion, seven hundred ninety-five million, eight hundred sixty-one thousand, ninety-six".