4444222120 has 128 divisors (see below), whose sum is σ = 11002068000. Its totient is φ = 1605795840.

The previous prime is 4444222109. The next prime is 4444222121. The reversal of 4444222120 is 212224444.

It can be written as a sum of positive squares in 16 ways, for example, as 58339044 + 4385883076 = 7638^2 + 66226^2 .

It is a super-3 number, since 3×4444222120³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4444222121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5044080 + ... + 5044960.

Almost surely, 2^4444222120 is an apocalyptic number.

4444222120 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 4444222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5501034000).

4444222120 is an abundant number, since it is smaller than the sum of its proper divisors (6557845880).

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

4444222120 is a wasteful number, since it uses less digits than its factorization.

4444222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 4444222120 is about 66664.9992124803. Note that the first 3 decimals coincide. The cubic root of 4444222120 is about 1644.1139674684.

Adding to 4444222120 its reverse (212224444), we get a palindrome (4656446564).

The spelling of 4444222120 in words is "four billion, four hundred forty-four million, two hundred twenty-two thousand, one hundred twenty".