408135424079520 has 768 divisors, whose sum is σ = 1511366750208000. Its totient is φ = 102655794548736.

The previous prime is 408135424079519. The next prime is 408135424079533. The reversal of 408135424079520 is 25970424531804.

It is a happy number.

408135424079520 is a `hidden beast` number, since 4 + 0 + 8 + 1 + 3 + 5 + 4 + 2 + 40 + 79 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6255971061 + ... + 6256036299.

It is an arithmetic number, because the mean of its divisors is an integer number (1967925456000).

Almost surely, 2^{408135424079520} is an apocalyptic number.

408135424079520 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 408135424079520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755683375104000).

408135424079520 is an abundant number, since it is smaller than the sum of its proper divisors (1103231326128480).

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

408135424079520 is a wasteful number, since it uses less digits than its factorization.

408135424079520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66162 (or 66148 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 408135424079520 in words is "four hundred eight trillion, one hundred thirty-five billion, four hundred twenty-four million, seventy-nine thousand, five hundred twenty".