414244442414 has 32 divisors (see below), whose sum is σ = 725127663456. Its totient is φ = 175389880320.

The previous prime is 414244442371. The next prime is 414244442449.

414244442414 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5673029 + ... + 5745584.

It is an arithmetic number, because the mean of its divisors is an integer number (22660239483).

Almost surely, 2^414244442414 is an apocalyptic number.

414244442414 is a deficient number, since it is larger than the sum of its proper divisors (310883221042).

414244442414 is a wasteful number, since it uses less digits than its factorization.

414244442414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11418740.

The product of its digits is 262144, while the sum is 38.

It can be divided in two parts, 414244 and 442414, that added together give a palindrome (856658).

The spelling of 414244442414 in words is "four hundred fourteen billion, two hundred forty-four million, four hundred forty-two thousand, four hundred fourteen".