413443344314 has 64 divisors (see below), whose sum is σ = 833615677440. Its totient is φ = 148521885120.

The previous prime is 413443344313. The next prime is 413443344367.

413443344314 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×413443344314² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413443344313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1650827 + ... + 1884705.

It is an arithmetic number, because the mean of its divisors is an integer number (13025244960).

Almost surely, 2^413443344314 is an apocalyptic number.

413443344314 is an abundant number, since it is smaller than the sum of its proper divisors (420172333126).

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

413443344314 is a wasteful number, since it uses less digits than its factorization.

413443344314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234795.

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 413443 and 344314, that added together give a palindrome (757757).

The spelling of 413443344314 in words is "four hundred thirteen billion, four hundred forty-three million, three hundred forty-four thousand, three hundred fourteen".