422431202134224 has 60 divisors (see below), whose sum is σ = 1182772323031936. Its totient is φ = 140744693468736.

The previous prime is 422431202134223. The next prime is 422431202134243.

422431202134224 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 3 + 12 + 0 + 213 + 422 + 4 = 666.

422431202134224 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422431202134223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 684140782 + ... + 684757965.

Almost surely, 2^{422431202134224} is an apocalyptic number.

It is an amenable number.

422431202134224 is an abundant number, since it is smaller than the sum of its proper divisors (760341120897712).

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

422431202134224 is a wasteful number, since it uses less digits than its factorization.

422431202134224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368900904 (or 1368900895 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, 42243120 and 2134224, that added together give a palindrome (44377344).

The spelling of 422431202134224 in words is "four hundred twenty-two trillion, four hundred thirty-one billion, two hundred two million, one hundred thirty-four thousand, two hundred twenty-four".