414104303113221 has 32 divisors (see below), whose sum is σ = 657362763187200. Its totient is φ = 226946668187520.

The previous prime is 414104303113211. The next prime is 414104303113271. The reversal of 414104303113221 is 122311303401414.

It is not a de Polignac number, because 414104303113221 - 2¹⁵ = 414104303080453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414104303113201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4075859191 + ... + 4075960788.

It is an arithmetic number, because the mean of its divisors is an integer number (20542586349600).

Almost surely, 2^{414104303113221} is an apocalyptic number.

414104303113221 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

414104303113221 is a deficient number, since it is larger than the sum of its proper divisors (243258460073979).

414104303113221 is a wasteful number, since it uses less digits than its factorization.

414104303113221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8151820089.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 414104303113221 its reverse (122311303401414), we get a palindrome (536415606514635).

The spelling of 414104303113221 in words is "four hundred fourteen trillion, one hundred four billion, three hundred three million, one hundred thirteen thousand, two hundred twenty-one".