413303323303314 has 48 divisors (see below), whose sum is σ = 904402583112600. Its totient is φ = 136396828108800.

The previous prime is 413303323303309. The next prime is 413303323303327.

413303323303314 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 0 + 3 + 3 + 2 + 330 + 3 + 314 = 666.

413303323303314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 343662078515625 + 69641244787689 = 18538125^2 + 8345133^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30207012 + ... + 41702160.

Almost surely, 2^{413303323303314} is an apocalyptic number.

413303323303314 is an abundant number, since it is smaller than the sum of its proper divisors (491099259809286).

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

413303323303314 is a wasteful number, since it uses less digits than its factorization.

413303323303314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11515035 (or 11515032 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 36.

The spelling of 413303323303314 in words is "four hundred thirteen trillion, three hundred three billion, three hundred twenty-three million, three hundred three thousand, three hundred fourteen".