408251638080 has 3360 divisors, whose sum is σ = 1977755028480. Its totient is φ = 78829977600.

The previous prime is 408251638033. The next prime is 408251638087. The reversal of 408251638080 is 80836152804.

408251638080 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 5 + 1 + 638 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408251638087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 13169407665 + ... + 13169407695.

It is an arithmetic number, because the mean of its divisors is an integer number (588617568).

Almost surely, 2^408251638080 is an apocalyptic number.

408251638080 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 408251638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988877514240).

408251638080 is an abundant number, since it is smaller than the sum of its proper divisors (1569503390400).

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

408251638080 is a wasteful number, since it uses less digits than its factorization.

408251638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 408251638080 in words is "four hundred eight billion, two hundred fifty-one million, six hundred thirty-eight thousand, eighty".