408768814080 has 528 divisors, whose sum is σ = 1550367078624. Its totient is φ = 98760130560.

The previous prime is 408768814057. The next prime is 408768814099. The reversal of 408768814080 is 80418867804.

408768814080 is a `hidden beast` number, since 408 + 76 + 88 + 14 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170817364 + ... + 170819756.

Almost surely, 2^408768814080 is an apocalyptic number.

408768814080 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 408768814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775183539312).

408768814080 is an abundant number, since it is smaller than the sum of its proper divisors (1141598264544).

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

408768814080 is a wasteful number, since it uses less digits than its factorization.

408768814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 408768814080 in words is "four hundred eight billion, seven hundred sixty-eight million, eight hundred fourteen thousand, eighty".