408705713152 has 176 divisors, whose sum is σ = 944483834880. Its totient is φ = 174818304000.

The previous prime is 408705713147. The next prime is 408705713167. The reversal of 408705713152 is 251317507804.

It is a tau number, because it is divible by the number of its divisors (176).

It is a junction number, because it is equal to n+sod(n) for n = 408705713099 and 408705713108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32310093 + ... + 32322739.

Almost surely, 2^408705713152 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 408705713152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472241917440).

408705713152 is an abundant number, since it is smaller than the sum of its proper divisors (535778121728).

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

408705713152 is a wasteful number, since it uses less digits than its factorization.

408705713152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12848 (or 12830 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

The spelling of 408705713152 in words is "four hundred eight billion, seven hundred five million, seven hundred thirteen thousand, one hundred fifty-two".