4224448444224 has 224 divisors, whose sum is σ = 12106606841856. Its totient is φ = 1296652769280.

The previous prime is 4224448444199. The next prime is 4224448444231.

It is a happy number.

4224448444224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 12493839 + ... + 12827505.

Almost surely, 2^{4224448444224} 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 4224448444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6053303420928).

4224448444224 is an abundant number, since it is smaller than the sum of its proper divisors (7882158397632).

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

4224448444224 is a wasteful number, since it uses less digits than its factorization.

4224448444224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333813 (or 333803 counting only the distinct ones).

The product of its digits is 8388608, while the sum is 48.

The spelling of 4224448444224 in words is "four trillion, two hundred twenty-four billion, four hundred forty-eight million, four hundred forty-four thousand, two hundred twenty-four".