413908106880 has 256 divisors, whose sum is σ = 1354148409600. Its totient is φ = 107473305600.

The previous prime is 413908106851. The next prime is 413908106897. The reversal of 413908106880 is 88601809314.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42582661 + ... + 42592379.

It is an arithmetic number, because the mean of its divisors is an integer number (5289642225).

Almost surely, 2^413908106880 is an apocalyptic number.

413908106880 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 413908106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677074204800).

413908106880 is an abundant number, since it is smaller than the sum of its proper divisors (940240302720).

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

413908106880 is a wasteful number, since it uses less digits than its factorization.

413908106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10323 (or 10311 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 413908106880 in words is "four hundred thirteen billion, nine hundred eight million, one hundred six thousand, eight hundred eighty".