4432221200 has 120 divisors (see below), whose sum is σ = 12228071520. Its totient is φ = 1526860800.

The previous prime is 4432221193. The next prime is 4432221217. The reversal of 4432221200 is 21222344.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57092 + ... + 110108.

It is an arithmetic number, because the mean of its divisors is an integer number (101900596).

Almost surely, 2^4432221200 is an apocalyptic number.

4432221200 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 4432221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114035760).

4432221200 is an abundant number, since it is smaller than the sum of its proper divisors (7795850320).

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

4432221200 is a wasteful number, since it uses less digits than its factorization.

4432221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53065 (or 53054 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4432221200 is about 66574.9292151332. The cubic root of 4432221200 is about 1642.6327433535.

Adding to 4432221200 its reverse (21222344), we get a palindrome (4453443544).

The spelling of 4432221200 in words is "four billion, four hundred thirty-two million, two hundred twenty-one thousand, two hundred".