444030122240200 has 96 divisors (see below), whose sum is σ = 1060382530181160. Its totient is φ = 172793696256000.

The previous prime is 444030122240197. The next prime is 444030122240207. The reversal of 444030122240200 is 2042221030444.

It can be written as a sum of positive squares in 12 ways, for example, as 264066985019044 + 179963137221156 = 16250138^2 + 13415034^2 .

It is not an unprimeable number, because it can be changed into a prime (444030122240207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67922514 + ... + 74172286.

Almost surely, 2^{444030122240200} is an apocalyptic number.

444030122240200 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 444030122240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530191265090580).

444030122240200 is an abundant number, since it is smaller than the sum of its proper divisors (616352407940960).

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

444030122240200 is a wasteful number, since it uses less digits than its factorization.

444030122240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6259427 (or 6259418 counting only the distinct ones).

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

Adding to 444030122240200 its reverse (2042221030444), we get a palindrome (446072343270644).

The spelling of 444030122240200 in words is "four hundred forty-four trillion, thirty billion, one hundred twenty-two million, two hundred forty thousand, two hundred".