413214412314 has 16 divisors (see below), whose sum is σ = 901558717920. Its totient is φ = 125216488560.

The previous prime is 413214412217. The next prime is 413214412327.

It is a happy number.

413214412314 is nontrivially palindromic in base 10.

413214412314 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3130412149 + ... + 3130412280.

It is an arithmetic number, because the mean of its divisors is an integer number (56347419870).

Almost surely, 2^413214412314 is an apocalyptic number.

413214412314 is an abundant number, since it is smaller than the sum of its proper divisors (488344305606).

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

413214412314 is a wasteful number, since it uses less digits than its factorization.

413214412314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6260824445.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 413214 and 412314, that added together give a palindrome (825528).

The spelling of 413214412314 in words is "four hundred thirteen billion, two hundred fourteen million, four hundred twelve thousand, three hundred fourteen".