413304244400010 has 32 divisors (see below), whose sum is σ = 993061235866752. Its totient is φ = 110088793028160.

The previous prime is 413304244400009. The next prime is 413304244400011. The reversal of 413304244400010 is 10004442403314.

It is an interprime number because it is at equal distance from previous prime (413304244400009) and next prime (413304244400011).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (413304244400011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7854482326 + ... + 7854534945.

It is an arithmetic number, because the mean of its divisors is an integer number (31033163620836).

Almost surely, 2^{413304244400010} is an apocalyptic number.

413304244400010 is an abundant number, since it is smaller than the sum of its proper divisors (579756991466742).

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

413304244400010 is a wasteful number, since it uses less digits than its factorization.

413304244400010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15709018158.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 413304244400010 its reverse (10004442403314), we get a palindrome (423308686803324).

The spelling of 413304244400010 in words is "four hundred thirteen trillion, three hundred four billion, two hundred forty-four million, four hundred thousand, ten".