4222134312224 has 48 divisors (see below), whose sum is σ = 8515716939576. Its totient is φ = 2059420416000.

The previous prime is 4222134312169. The next prime is 4222134312257.

4222134312224 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 2412840302224 + 1809294010000 = 1553332^2 + 1345100^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18090674 + ... + 18322574.

Almost surely, 2^{4222134312224} is an apocalyptic number.

It is an amenable number.

4222134312224 is an abundant number, since it is smaller than the sum of its proper divisors (4293582627352).

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

4222134312224 is a wasteful number, since it uses less digits than its factorization.

4222134312224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245829 (or 245821 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The spelling of 4222134312224 in words is "four trillion, two hundred twenty-two billion, one hundred thirty-four million, three hundred twelve thousand, two hundred twenty-four".