4442421320200 has 96 divisors (see below), whose sum is σ = 10387570152960. Its totient is φ = 1766831788800.

The previous prime is 4442421320147. The next prime is 4442421320263. The reversal of 4442421320200 is 20231242444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386863659 + ... + 386875141.

It is an arithmetic number, because the mean of its divisors is an integer number (108203855760).

Almost surely, 2^{4442421320200} is an apocalyptic number.

4442421320200 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 4442421320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193785076480).

4442421320200 is an abundant number, since it is smaller than the sum of its proper divisors (5945148832760).

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

4442421320200 is a wasteful number, since it uses less digits than its factorization.

4442421320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22367 (or 22358 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4442421320200 its reverse (20231242444), we get a palindrome (4462652562644).

The spelling of 4442421320200 in words is "four trillion, four hundred forty-two billion, four hundred twenty-one million, three hundred twenty thousand, two hundred".