408039871680 has 1680 divisors, whose sum is σ = 1829339313120. Its totient is φ = 85781348352.

The previous prime is 408039871633. The next prime is 408039871697. The reversal of 408039871680 is 86178930804.

408039871680 is a `hidden beast` number, since 408 + 0 + 3 + 98 + 71 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 892866012 + ... + 892866468.

Almost surely, 2^408039871680 is an apocalyptic number.

408039871680 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 408039871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914669656560).

408039871680 is an abundant number, since it is smaller than the sum of its proper divisors (1421299441440).

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

408039871680 is a wasteful number, since it uses less digits than its factorization.

408039871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 408039871680 in words is "four hundred eight billion, thirty-nine million, eight hundred seventy-one thousand, six hundred eighty".