413142141241314 has 96 divisors (see below), whose sum is σ = 947093365670400. Its totient is φ = 129982701024000.

The previous prime is 413142141241303. The next prime is 413142141241337.

413142141241314 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 4 + 214 + 12 + 413 + 14 = 666.

413142141241314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50930539 + ... + 58482510.

It is an arithmetic number, because the mean of its divisors is an integer number (9865555892400).

Almost surely, 2^{413142141241314} is an apocalyptic number.

413142141241314 is an abundant number, since it is smaller than the sum of its proper divisors (533951224429086).

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

413142141241314 is a wasteful number, since it uses less digits than its factorization.

413142141241314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109413256 (or 109413253 counting only the distinct ones).

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

The spelling of 413142141241314 in words is "four hundred thirteen trillion, one hundred forty-two billion, one hundred forty-one million, two hundred forty-one thousand, three hundred fourteen".