414013221223 has 16 divisors (see below), whose sum is σ = 474665405760. Its totient is φ = 353738359296.

The previous prime is 414013221157. The next prime is 414013221229. The reversal of 414013221223 is 322122310414.

It is a de Polignac number, because none of the positive numbers 2^k-414013221223 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414013221229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12564093 + ... + 12597001.

It is an arithmetic number, because the mean of its divisors is an integer number (29666587860).

Almost surely, 2^414013221223 is an apocalyptic number.

414013221223 is a deficient number, since it is larger than the sum of its proper divisors (60652184537).

414013221223 is a wasteful number, since it uses less digits than its factorization.

414013221223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38586.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 414013221223 its reverse (322122310414), we get a palindrome (736135531637).

The spelling of 414013221223 in words is "four hundred fourteen billion, thirteen million, two hundred twenty-one thousand, two hundred twenty-three".