414323121323414 has 128 divisors (see below), whose sum is σ = 696817503014400. Its totient is φ = 183864862720000.

The previous prime is 414323121323413. The next prime is 414323121323473.

414323121323414 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414323121323413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3819965144 + ... + 3820073604.

It is an arithmetic number, because the mean of its divisors is an integer number (5443886742300).

Almost surely, 2^{414323121323414} is an apocalyptic number.

414323121323414 is a deficient number, since it is larger than the sum of its proper divisors (282494381690986).

414323121323414 is a wasteful number, since it uses less digits than its factorization.

414323121323414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109130.

The product of its digits is 165888, while the sum is 38.

The spelling of 414323121323414 in words is "four hundred fourteen trillion, three hundred twenty-three billion, one hundred twenty-one million, three hundred twenty-three thousand, four hundred fourteen".