408855115776 has 288 divisors, whose sum is σ = 1218947184000. Its totient is φ = 121507282944.

The previous prime is 408855115769. The next prime is 408855115817. The reversal of 408855115776 is 677511558804.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33730645 + ... + 33742763.

It is an arithmetic number, because the mean of its divisors is an integer number (4232455500).

Almost surely, 2^408855115776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408855115776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609473592000).

408855115776 is an abundant number, since it is smaller than the sum of its proper divisors (810092068224).

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

408855115776 is a wasteful number, since it uses less digits than its factorization.

408855115776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12197 (or 12160 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 57.

The spelling of 408855115776 in words is "four hundred eight billion, eight hundred fifty-five million, one hundred fifteen thousand, seven hundred seventy-six".