414013324002319 has 2 divisors, whose sum is σ = 414013324002320. Its totient is φ = 414013324002318.

The previous prime is 414013324002301. The next prime is 414013324002347. The reversal of 414013324002319 is 913200423310414.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 414013324002319 - 2²⁷ = 414013189784591 is a prime.

It is a super-2 number, since 2×414013324002319² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414013321002319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207006662001159 + 207006662001160.

It is an arithmetic number, because the mean of its divisors is an integer number (207006662001160).

Almost surely, 2^{414013324002319} is an apocalyptic number.

414013324002319 is a deficient number, since it is larger than the sum of its proper divisors (1).

414013324002319 is an equidigital number, since it uses as much as digits as its factorization.

414013324002319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 414013324002319 in words is "four hundred fourteen trillion, thirteen billion, three hundred twenty-four million, two thousand, three hundred nineteen".