4444221200 has 60 divisors (see below), whose sum is σ = 10709249460. Its totient is φ = 1772359680.

The previous prime is 4444221193. The next prime is 4444221217. The reversal of 4444221200 is 21224444.

It can be written as a sum of positive squares in 6 ways, for example, as 453519616 + 3990701584 = 21296^2 + 63172^2 .

It is a super-3 number, since 3×4444221200³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118316 + ... + 151284.

It is an arithmetic number, because the mean of its divisors is an integer number (178487491).

Almost surely, 2^4444221200 is an apocalyptic number.

4444221200 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 4444221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5354624730).

4444221200 is an abundant number, since it is smaller than the sum of its proper divisors (6265028260).

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

4444221200 is a wasteful number, since it uses less digits than its factorization.

4444221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33324 (or 33313 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 4444221200 is about 66664.9923123074. The cubic root of 4444221200 is about 1644.1138540188.

Adding to 4444221200 its reverse (21224444), we get a palindrome (4465445644).

The spelling of 4444221200 in words is "four billion, four hundred forty-four million, two hundred twenty-one thousand, two hundred".