4224334320 has 120 divisors (see below), whose sum is σ = 14319570096. Its totient is φ = 1115940864.

The previous prime is 4224334249. The next prime is 4224334339. The reversal of 4224334320 is 234334224.

4224334320 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 334 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 49624 + ... + 104456.

Almost surely, 2^4224334320 is an apocalyptic number.

4224334320 is a gapful number since it is divisible by the number (40) 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 4224334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7159785048).

4224334320 is an abundant number, since it is smaller than the sum of its proper divisors (10095235776).

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

4224334320 is a wasteful number, since it uses less digits than its factorization.

4224334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54959 (or 54950 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 4224334320 is about 64994.8791829018. The cubic root of 4224334320 is about 1616.5386544522.

Adding to 4224334320 its reverse (234334224), we get a palindrome (4458668544).

The spelling of 4224334320 in words is "four billion, two hundred twenty-four million, three hundred thirty-four thousand, three hundred twenty".