44431241142200 has 192 divisors, whose sum is σ = 113274533358720. Its totient is φ = 16073764928000.

The previous prime is 44431241142181. The next prime is 44431241142221. The reversal of 44431241142200 is 224114213444.

44431241142200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338120510 + ... + 338251890.

It is an arithmetic number, because the mean of its divisors is an integer number (589971527910).

Almost surely, 2^{44431241142200} is an apocalyptic number.

44431241142200 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 44431241142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56637266679360).

44431241142200 is an abundant number, since it is smaller than the sum of its proper divisors (68843292216520).

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

44431241142200 is a wasteful number, since it uses less digits than its factorization.

44431241142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132198 (or 132189 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 44431241142200 its reverse (224114213444), we get a palindrome (44655355355644).

The spelling of 44431241142200 in words is "forty-four trillion, four hundred thirty-one billion, two hundred forty-one million, one hundred forty-two thousand, two hundred".