413313310410 has 384 divisors, whose sum is σ = 1357607817216. Its totient is φ = 78185502720.

The previous prime is 413313310369. The next prime is 413313310429. The reversal of 413313310410 is 14013313314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28491219 + ... + 28505721.

It is an arithmetic number, because the mean of its divisors is an integer number (3535437024).

Almost surely, 2^413313310410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413313310410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678803908608).

413313310410 is an abundant number, since it is smaller than the sum of its proper divisors (944294506806).

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

413313310410 is a wasteful number, since it uses less digits than its factorization.

413313310410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14630 (or 14617 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 413313310410 its reverse (14013313314), we get a palindrome (427326623724).

The spelling of 413313310410 in words is "four hundred thirteen billion, three hundred thirteen million, three hundred ten thousand, four hundred ten".