413130444031314 has 48 divisors (see below), whose sum is σ = 919311535029888. Its totient is φ = 133987778483616.

The previous prime is 413130444031213. The next prime is 413130444031369.

413130444031314 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 304 + 4 + 4 + 0 + 31 + 314 = 666.

413130444031314 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 221292679 + ... + 223151765.

It is an arithmetic number, because the mean of its divisors is an integer number (19152323646456).

Almost surely, 2^{413130444031314} is an apocalyptic number.

413130444031314 is an abundant number, since it is smaller than the sum of its proper divisors (506181090998574).

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

413130444031314 is a wasteful number, since it uses less digits than its factorization.

413130444031314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192799 (or 2192796 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 413130 and 444031314, that added together give a palindrome (444444444).

The spelling of 413130444031314 in words is "four hundred thirteen trillion, one hundred thirty billion, four hundred forty-four million, thirty-one thousand, three hundred fourteen".