408675794802912 has 2880 divisors, whose sum is σ = 1597383067230720. Its totient is φ = 100062330421248.

The previous prime is 408675794802887. The next prime is 408675794802959. The reversal of 408675794802912 is 219208497576804.

It is a happy number.

408675794802912 is a `hidden beast` number, since 4 + 0 + 8 + 6 + 7 + 57 + 9 + 480 + 2 + 91 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1305673465668 + ... + 1305673465980.

It is an arithmetic number, because the mean of its divisors is an integer number (554646898344).

Almost surely, 2^{408675794802912} is an apocalyptic number.

408675794802912 is a gapful number since it is divisible by the number (42) 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 408675794802912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798691533615360).

408675794802912 is an abundant number, since it is smaller than the sum of its proper divisors (1188707272427808).

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

408675794802912 is a wasteful number, since it uses less digits than its factorization.

408675794802912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 408675794802912 in words is "four hundred eight trillion, six hundred seventy-five billion, seven hundred ninety-four million, eight hundred two thousand, nine hundred twelve".