412314413214 has 96 divisors (see below), whose sum is σ = 946223712000. Its totient is φ = 119460337920.

The previous prime is 412314413213. The next prime is 412314413227.

It is a happy number.

412314413214 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412314413213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58422774 + ... + 58429830.

It is an arithmetic number, because the mean of its divisors is an integer number (9856497000).

Almost surely, 2^412314413214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412314413214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473111856000).

412314413214 is an abundant number, since it is smaller than the sum of its proper divisors (533909298786).

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

412314413214 is a wasteful number, since it uses less digits than its factorization.

412314413214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10606 (or 10595 counting only the distinct ones).

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

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

The spelling of 412314413214 in words is "four hundred twelve billion, three hundred fourteen million, four hundred thirteen thousand, two hundred fourteen".