408793338173952 has 240 divisors, whose sum is σ = 1211743387126272. Its totient is φ = 132575987589120.

The previous prime is 408793338173947. The next prime is 408793338173999. The reversal of 408793338173952 is 259371833397804.

408793338173952 is a `hidden beast` number, since 4 + 0 + 8 + 7 + 93 + 3 + 381 + 73 + 95 + 2 = 666.

It is a super-2 number, since 2×408793338173952² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6282233577 + ... + 6282298647.

Almost surely, 2^{408793338173952} 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 408793338173952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605871693563136).

408793338173952 is an abundant number, since it is smaller than the sum of its proper divisors (802950048952320).

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

408793338173952 is a wasteful number, since it uses less digits than its factorization.

408793338173952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101979 (or 101960 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 408793338173952 in words is "four hundred eight trillion, seven hundred ninety-three billion, three hundred thirty-eight million, one hundred seventy-three thousand, nine hundred fifty-two".