414221303122414 has 32 divisors (see below), whose sum is σ = 628525123020000. Its totient is φ = 204720006758400.

The previous prime is 414221303122397. The next prime is 414221303122469.

414221303122414 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 414221303122414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304845294 + ... + 306201070.

It is an arithmetic number, because the mean of its divisors is an integer number (19641410094375).

Almost surely, 2^{414221303122414} is an apocalyptic number.

414221303122414 is a deficient number, since it is larger than the sum of its proper divisors (214303819897586).

414221303122414 is a wasteful number, since it uses less digits than its factorization.

414221303122414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358388.

The product of its (nonzero) digits is 36864, while the sum is 34.

It can be divided in two parts, 41422130 and 3122414, that added together give a palindrome (44544544).

The spelling of 414221303122414 in words is "four hundred fourteen trillion, two hundred twenty-one billion, three hundred three million, one hundred twenty-two thousand, four hundred fourteen".