4222342432224 has 144 divisors (see below), whose sum is σ = 13726468435680. Its totient is φ = 1206044605440.

The previous prime is 4222342432223. The next prime is 4222342432229.

4222342432224 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 3 + 424 + 3 + 2 + 224 = 666.

4222342432224 is nontrivially palindromic in base 10.

4222342432224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4222342432224² (a number of 26 digits) contains 22 as substring.

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 (4222342432223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6926862 + ... + 7511730.

It is an arithmetic number, because the mean of its divisors is an integer number (95322697470).

Almost surely, 2^{4222342432224} 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 4222342432224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863234217840).

4222342432224 is an abundant number, since it is smaller than the sum of its proper divisors (9504126003456).

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

4222342432224 is a wasteful number, since it uses less digits than its factorization.

4222342432224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588473 (or 588462 counting only the distinct ones).

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

The spelling of 4222342432224 in words is "four trillion, two hundred twenty-two billion, three hundred forty-two million, four hundred thirty-two thousand, two hundred twenty-four".