4144222320 has 160 divisors (see below), whose sum is σ = 14765483520. Its totient is φ = 941890560.

The previous prime is 4144222301. The next prime is 4144222349. The reversal of 4144222320 is 232224414.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 293830 + ... + 307610.

It is an arithmetic number, because the mean of its divisors is an integer number (92284272).

Almost surely, 2^4144222320 is an apocalyptic number.

4144222320 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 4144222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7382741760).

4144222320 is an abundant number, since it is smaller than the sum of its proper divisors (10621261200).

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

4144222320 is a wasteful number, since it uses less digits than its factorization.

4144222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13983 (or 13977 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4144222320 is about 64375.6345211447. The cubic root of 4144222320 is about 1606.2544670852.

Adding to 4144222320 its reverse (232224414), we get a palindrome (4376446734).

The spelling of 4144222320 in words is "four billion, one hundred forty-four million, two hundred twenty-two thousand, three hundred twenty".