413311304113104 has 320 divisors, whose sum is σ = 1179068843335680. Its totient is φ = 124232992235520.

The previous prime is 413311304113091. The next prime is 413311304113139. The reversal of 413311304113104 is 401311403113314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 490354777 + ... + 491196935.

It is an arithmetic number, because the mean of its divisors is an integer number (3684590135424).

Almost surely, 2^{413311304113104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413311304113104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589534421667840).

413311304113104 is an abundant number, since it is smaller than the sum of its proper divisors (765757539222576).

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

413311304113104 is a wasteful number, since it uses less digits than its factorization.

413311304113104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842498 (or 842492 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 413311304113104 its reverse (401311403113314), we get a palindrome (814622707226418).

The spelling of 413311304113104 in words is "four hundred thirteen trillion, three hundred eleven billion, three hundred four million, one hundred thirteen thousand, one hundred four".