408108879360 has 2880 divisors, whose sum is σ = 1966862684160. Its totient is φ = 79705866240.

The previous prime is 408108879323. The next prime is 408108879377. The reversal of 408108879360 is 63978801804.

408108879360 is a `hidden beast` number, since 408 + 10 + 8 + 87 + 93 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a junction number, because it is equal to n+sod(n) for n = 408108879297 and 408108879306.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 13164802545 + ... + 13164802575.

It is an arithmetic number, because the mean of its divisors is an integer number (682938432).

Almost surely, 2^408108879360 is an apocalyptic number.

408108879360 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 408108879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983431342080).

408108879360 is an abundant number, since it is smaller than the sum of its proper divisors (1558753804800).

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

408108879360 is a wasteful number, since it uses less digits than its factorization.

408108879360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 84 counting only the distinct ones).

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

The spelling of 408108879360 in words is "four hundred eight billion, one hundred eight million, eight hundred seventy-nine thousand, three hundred sixty".