413159568000 has 512 divisors, whose sum is σ = 1497062062080. Its totient is φ = 100343808000.

The previous prime is 413159567987. The next prime is 413159568001. The reversal of 413159568000 is 865951314.

It is not an unprimeable number, because it can be changed into a prime (413159568001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25287834 + ... + 25304166.

It is an arithmetic number, because the mean of its divisors is an integer number (2923949340).

Almost surely, 2^413159568000 is an apocalyptic number.

413159568000 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 413159568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748531031040).

413159568000 is an abundant number, since it is smaller than the sum of its proper divisors (1083902494080).

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

413159568000 is a wasteful number, since it uses less digits than its factorization.

413159568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16413 (or 16391 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 413159568000 in words is "four hundred thirteen billion, one hundred fifty-nine million, five hundred sixty-eight thousand".