4222142412224 has 168 divisors, whose sum is σ = 9719357061120. Its totient is φ = 1813376125440.

The previous prime is 4222142412139. The next prime is 4222142412277.

It is a happy number.

4222142412224 is nontrivially palindromic in base 10.

4222142412224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 23 ways as a sum of consecutive naturals, for example, 56315627 + ... + 56390549.

It is an arithmetic number, because the mean of its divisors is an integer number (57853315840).

Almost surely, 2^{4222142412224} is an apocalyptic number.

4222142412224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4222142412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4859678530560).

4222142412224 is an abundant number, since it is smaller than the sum of its proper divisors (5497214648896).

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

4222142412224 is a wasteful number, since it uses less digits than its factorization.

4222142412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75359 (or 75338 counting only the distinct ones).

The product of its digits is 32768, while the sum is 32.

The spelling of 4222142412224 in words is "four trillion, two hundred twenty-two billion, one hundred forty-two million, four hundred twelve thousand, two hundred twenty-four".