413360418120 has 512 divisors, whose sum is σ = 1442230272000. Its totient is φ = 93926891520.

The previous prime is 413360418091. The next prime is 413360418151. The reversal of 413360418120 is 21814063314.

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, 187294057 + ... + 187296263.

It is an arithmetic number, because the mean of its divisors is an integer number (2816856000).

Almost surely, 2^413360418120 is an apocalyptic number.

413360418120 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 413360418120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721115136000).

413360418120 is an abundant number, since it is smaller than the sum of its proper divisors (1028869853880).

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

413360418120 is a wasteful number, since it uses less digits than its factorization.

413360418120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 413360418120 in words is "four hundred thirteen billion, three hundred sixty million, four hundred eighteen thousand, one hundred twenty".