4224268624224 has 288 divisors, whose sum is σ = 12331689350400. Its totient is φ = 1265080960000.

The previous prime is 4224268624207. The next prime is 4224268624231.

4224268624224 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 47 ways as a sum of consecutive naturals, for example, 702753379 + ... + 702759389.

It is an arithmetic number, because the mean of its divisors is an integer number (42818365800).

Almost surely, 2^{4224268624224} is an apocalyptic number.

4224268624224 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 4224268624224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165844675200).

4224268624224 is an abundant number, since it is smaller than the sum of its proper divisors (8107420726176).

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

4224268624224 is a wasteful number, since it uses less digits than its factorization.

4224268624224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6746 (or 6727 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 48.

The spelling of 4224268624224 in words is "four trillion, two hundred twenty-four billion, two hundred sixty-eight million, six hundred twenty-four thousand, two hundred twenty-four".