408902849671680 has 3200 divisors, whose sum is σ = 1835927781101568. Its totient is φ = 84685468336128.

The previous prime is 408902849671661. The next prime is 408902849671691. The reversal of 408902849671680 is 86176948209804.

408902849671680 is a `hidden beast` number, since 4 + 0 + 8 + 9 + 0 + 2 + 8 + 496 + 71 + 68 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 408902849671599 and 408902849671608.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 635929781439 + ... + 635929782081.

Almost surely, 2^{408902849671680} is an apocalyptic number.

408902849671680 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 408902849671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917963890550784).

408902849671680 is an abundant number, since it is smaller than the sum of its proper divisors (1427024931429888).

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

408902849671680 is a wasteful number, since it uses less digits than its factorization.

408902849671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 408902849671680 in words is "four hundred eight trillion, nine hundred two billion, eight hundred forty-nine million, six hundred seventy-one thousand, six hundred eighty".