444231041144 has 64 divisors (see below), whose sum is σ = 932762304000. Its totient is φ = 196635928320.

The previous prime is 444231041141. The next prime is 444231041159. The reversal of 444231041144 is 441140132444.

It is a self number, because there is not a number n which added to its sum of digits gives 444231041144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444231041141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69827 + ... + 945165.

It is an arithmetic number, because the mean of its divisors is an integer number (14574411000).

Almost surely, 2^444231041144 is an apocalyptic number.

444231041144 is a gapful number since it is divisible by the number (44) 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 444231041144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466381152000).

444231041144 is an abundant number, since it is smaller than the sum of its proper divisors (488531262856).

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

444231041144 is a wasteful number, since it uses less digits than its factorization.

444231041144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875508 (or 875504 counting only the distinct ones).

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

Adding to 444231041144 its reverse (441140132444), we get a palindrome (885371173588).

The spelling of 444231041144 in words is "four hundred forty-four billion, two hundred thirty-one million, forty-one thousand, one hundred forty-four".