4224444224 has 448 divisors, whose sum is σ = 12191219712. Its totient is φ = 1398988800.

The previous prime is 4224444167. The next prime is 4224444233.

4224444224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (448).

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

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69253154 + ... + 69253214.

It is an arithmetic number, because the mean of its divisors is an integer number (27212544).

Almost surely, 2^4224444224 is an apocalyptic number.

4224444224 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 4224444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6095609856).

4224444224 is an abundant number, since it is smaller than the sum of its proper divisors (7966775488).

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

4224444224 is a wasteful number, since it uses less digits than its factorization.

4224444224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its digits is 65536, while the sum is 32.

The square root of 4224444224 is about 64995.7246593959. The cubic root of 4224444224 is about 1616.5526734281.

It can be divided in two parts, 42244 and 44224, that added together give a palindrome (86468).

The spelling of 4224444224 in words is "four billion, two hundred twenty-four million, four hundred forty-four thousand, two hundred twenty-four".