422012464210224 has 240 divisors, whose sum is σ = 1253063056410880. Its totient is φ = 132351590891520.

The previous prime is 422012464210171. The next prime is 422012464210241.

422012464210224 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 1 + 2 + 4 + 6 + 421 + 0 + 224 = 666.

422012464210224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×422012464210224² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213237912 + ... + 215207880.

Almost surely, 2^{422012464210224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422012464210224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626531528205440).

422012464210224 is an abundant number, since it is smaller than the sum of its proper divisors (831050592200656).

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

422012464210224 is a wasteful number, since it uses less digits than its factorization.

422012464210224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971348 (or 1971339 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 422012464210224 in words is "four hundred twenty-two trillion, twelve billion, four hundred sixty-four million, two hundred ten thousand, two hundred twenty-four".