4224224224 has 36 divisors (see below), whose sum is σ = 9141220872. Its totient is φ = 1920100160.

The previous prime is 4224224201. The next prime is 4224224227.

4224224224 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 4224224192 and 4224224201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224224227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 541612 + ... + 549355.

It is an arithmetic number, because the mean of its divisors is an integer number (253922802).

Almost surely, 2^4224224224 is an apocalyptic number.

4224224224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4224224224 is an abundant number, since it is smaller than the sum of its proper divisors (4916996648).

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

4224224224 is a wasteful number, since it uses less digits than its factorization.

4224224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090999 (or 1090980 counting only the distinct ones).

The product of its digits is 16384, while the sum is 28.

The square root of 4224224224 is about 64994.0322183506. The cubic root of 4224224224 is about 1616.5246107416.

It can be divided in two parts, 42242 and 24224, that added together give a palindrome (66466).

The spelling of 4224224224 in words is "four billion, two hundred twenty-four million, two hundred twenty-four thousand, two hundred twenty-four".