422232141232224 has 288 divisors, whose sum is σ = 1238195381439744. Its totient is φ = 136438312550400.

The previous prime is 422232141232217. The next prime is 422232141232247.

It is a happy number.

422232141232224 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 321 + 4 + 1 + 2 + 322 + 2 + 4 = 666.

422232141232224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 290183377 + ... + 291634799.

It is an arithmetic number, because the mean of its divisors is an integer number (4299289518888).

Almost surely, 2^{422232141232224} 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 422232141232224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619097690719872).

422232141232224 is an abundant number, since it is smaller than the sum of its proper divisors (815963240207520).

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

422232141232224 is a wasteful number, since it uses less digits than its factorization.

422232141232224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451750 (or 1451739 counting only the distinct ones).

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

The spelling of 422232141232224 in words is "four hundred twenty-two trillion, two hundred thirty-two billion, one hundred forty-one million, two hundred thirty-two thousand, two hundred twenty-four".