4220444200 has 96 divisors (see below), whose sum is σ = 11227852800. Its totient is φ = 1445264640.

The previous prime is 4220444177. The next prime is 4220444201. The reversal of 4220444200 is 24440224.

It is not an unprimeable number, because it can be changed into a prime (4220444201) by changing a digit.

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, 1789422 + ... + 1791778.

It is an arithmetic number, because the mean of its divisors is an integer number (116956800).

Almost surely, 2^4220444200 is an apocalyptic number.

4220444200 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 4220444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613926400).

4220444200 is an abundant number, since it is smaller than the sum of its proper divisors (7007408600).

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

4220444200 is a wasteful number, since it uses less digits than its factorization.

4220444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 4220444200 is about 64964.9459324027. The cubic root of 4220444200 is about 1616.0422874354.

Adding to 4220444200 its reverse (24440224), we get a palindrome (4244884424).

The spelling of 4220444200 in words is "four billion, two hundred twenty million, four hundred forty-four thousand, two hundred".