4080800490624 has 2048 divisors, whose sum is σ = 15703046553600. Its totient is φ = 1024789708800.

The previous prime is 4080800490551. The next prime is 4080800490673. The reversal of 4080800490624 is 4260940080804.

4080800490624 is a `hidden beast` number, since 4 + 0 + 80 + 80 + 0 + 490 + 6 + 2 + 4 = 666.

It is a super-2 number, since 2×4080800490624² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4080800490624.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13037701092 + ... + 13037701404.

It is an arithmetic number, because the mean of its divisors is an integer number (7667503200).

Almost surely, 2^{4080800490624} is an apocalyptic number.

4080800490624 is a gapful number since it is divisible by the number (44) 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 4080800490624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7851523276800).

4080800490624 is an abundant number, since it is smaller than the sum of its proper divisors (11622246062976).

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

4080800490624 is a wasteful number, since it uses less digits than its factorization.

4080800490624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 4080800490624 in words is "four trillion, eighty billion, eight hundred million, four hundred ninety thousand, six hundred twenty-four".