408147367680 has 216 divisors, whose sum is σ = 1520774656128. Its totient is φ = 100467007488.

The previous prime is 408147367673. The next prime is 408147367717. The reversal of 408147367680 is 86763741804.

408147367680 is a `hidden beast` number, since 408 + 147 + 36 + 7 + 68 + 0 = 666.

It is a super-2 number, since 2×408147367680² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1212912 + ... + 1512431.

It is an arithmetic number, because the mean of its divisors is an integer number (7040623408).

Almost surely, 2^408147367680 is an apocalyptic number.

408147367680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408147367680 is an abundant number, since it is smaller than the sum of its proper divisors (1112627288448).

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

408147367680 is a wasteful number, since it uses less digits than its factorization.

408147367680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725383 (or 2725366 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 408147367680 in words is "four hundred eight billion, one hundred forty-seven million, three hundred sixty-seven thousand, six hundred eighty".