4222432342224 has 240 divisors, whose sum is σ = 12583658880000. Its totient is φ = 1317113892864.

The previous prime is 4222432342223. The next prime is 4222432342243.

4222432342224 is a `hidden beast` number, since 4 + 2 + 224 + 3 + 2 + 3 + 422 + 2 + 4 = 666.

4222432342224 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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222432342223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1168675842 + ... + 1168679454.

It is an arithmetic number, because the mean of its divisors is an integer number (52431912000).

Almost surely, 2^{4222432342224} 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 4222432342224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291829440000).

4222432342224 is an abundant number, since it is smaller than the sum of its proper divisors (8361226537776).

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

4222432342224 is a wasteful number, since it uses less digits than its factorization.

4222432342224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6242 (or 6233 counting only the distinct ones).

The product of its digits is 294912, while the sum is 36.

The spelling of 4222432342224 in words is "four trillion, two hundred twenty-two billion, four hundred thirty-two million, three hundred forty-two thousand, two hundred twenty-four".