422241303142224 has 120 divisors (see below), whose sum is σ = 1215338503787720. Its totient is φ = 136749974436864.

The previous prime is 422241303142201. The next prime is 422241303142339.

422241303142224 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 413 + 0 + 3 + 14 + 2 + 224 = 666.

422241303142224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 10858738467600 + 411382564674624 = 3295260^2 + 20282568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52110667 + ... + 59665770.

Almost surely, 2^{422241303142224} is an apocalyptic number.

It is an amenable number.

422241303142224 is an abundant number, since it is smaller than the sum of its proper divisors (793097200645496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422241303142224 is a wasteful number, since it uses less digits than its factorization.

422241303142224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111777197 (or 111777188 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 42224130 and 3142224, that added together give a palindrome (45366354).

The spelling of 422241303142224 in words is "four hundred twenty-two trillion, two hundred forty-one billion, three hundred three million, one hundred forty-two thousand, two hundred twenty-four".