413211444112314 has 24 divisors (see below), whose sum is σ = 895297870090260. Its totient is φ = 137736162214848.

The previous prime is 413211444112297. The next prime is 413211444112319.

413211444112314 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 1 + 1 + 4 + 4 + 411 + 231 + 4 = 666.

413211444112314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 411611262122025 + 1600181990289 = 20288205^2 + 1264983^2 .

It is not an unprimeable number, because it can be changed into a prime (413211444112319) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 79564899 + ... + 84599030.

Almost surely, 2^{413211444112314} is an apocalyptic number.

413211444112314 is an abundant number, since it is smaller than the sum of its proper divisors (482086425977946).

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

413211444112314 is a wasteful number, since it uses less digits than its factorization.

413211444112314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164303774 (or 164303771 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 413211444112314 in words is "four hundred thirteen trillion, two hundred eleven billion, four hundred forty-four million, one hundred twelve thousand, three hundred fourteen".