414224221311 has 12 divisors (see below), whose sum is σ = 598384950592. Its totient is φ = 276121292256.

The previous prime is 414224221303. The next prime is 414224221321. The reversal of 414224221311 is 113122422414.

414224221311 is a `hidden beast` number, since 4 + 1 + 422 + 4 + 221 + 3 + 11 = 666.

It is not a de Polignac number, because 414224221311 - 2³ = 414224221303 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414224221321) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2255791 + ... + 2432496.

Almost surely, 2^414224221311 is an apocalyptic number.

414224221311 is a deficient number, since it is larger than the sum of its proper divisors (184160729281).

414224221311 is a wasteful number, since it uses less digits than its factorization.

414224221311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698110 (or 4698107 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 414224221311 its reverse (113122422414), we get a palindrome (527346643725).

The spelling of 414224221311 in words is "four hundred fourteen billion, two hundred twenty-four million, two hundred twenty-one thousand, three hundred eleven".