4221344431224 has 192 divisors, whose sum is σ = 12096126900000. Its totient is φ = 1326251114496.

The previous prime is 4221344431181. The next prime is 4221344431229.

4221344431224 is a `hidden beast` number, since 4 + 2 + 213 + 4 + 4 + 431 + 2 + 2 + 4 = 666.

4221344431224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4221344431224² (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 (4221344431229) 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, 216814162 + ... + 216833630.

Almost surely, 2^{4221344431224} 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 4221344431224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048063450000).

4221344431224 is an abundant number, since it is smaller than the sum of its proper divisors (7874782468776).

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

4221344431224 is a wasteful number, since it uses less digits than its factorization.

4221344431224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20302 (or 20295 counting only the distinct ones).

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

The spelling of 4221344431224 in words is "four trillion, two hundred twenty-one billion, three hundred forty-four million, four hundred thirty-one thousand, two hundred twenty-four".