4224434344224 has 384 divisors, whose sum is σ = 12346234306560. Its totient is φ = 1259828204544.

The previous prime is 4224434344159. The next prime is 4224434344301.

4224434344224 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 305956329 + ... + 305970135.

It is an arithmetic number, because the mean of its divisors is an integer number (32151651840).

Almost surely, 2^{4224434344224} 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 4224434344224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6173117153280).

4224434344224 is an abundant number, since it is smaller than the sum of its proper divisors (8121799962336).

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

4224434344224 is a wasteful number, since it uses less digits than its factorization.

4224434344224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14012 (or 14004 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 42.

The spelling of 4224434344224 in words is "four trillion, two hundred twenty-four billion, four hundred thirty-four million, three hundred forty-four thousand, two hundred twenty-four".