413301331300200 has 384 divisors, whose sum is σ = 1466879199436800. Its totient is φ = 94300434708480.

The previous prime is 413301331300181. The next prime is 413301331300213. The reversal of 413301331300200 is 2003133103314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26015056657 + ... + 26015072543.

It is an arithmetic number, because the mean of its divisors is an integer number (3819997915200).

Almost surely, 2^{413301331300200} is an apocalyptic number.

413301331300200 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 413301331300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733439599718400).

413301331300200 is an abundant number, since it is smaller than the sum of its proper divisors (1053577868136600).

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

413301331300200 is a wasteful number, since it uses less digits than its factorization.

413301331300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26569 (or 26560 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 413301331300200 its reverse (2003133103314), we get a palindrome (415304464403514).

The spelling of 413301331300200 in words is "four hundred thirteen trillion, three hundred one billion, three hundred thirty-one million, three hundred thousand, two hundred".