441442131144 has 128 divisors (see below), whose sum is σ = 1328006016000. Its totient is φ = 119455651584.

The previous prime is 441442131073. The next prime is 441442131149. The reversal of 441442131144 is 441131244144.

441442131144 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (441442131149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13194982 + ... + 13228394.

It is an arithmetic number, because the mean of its divisors is an integer number (10375047000).

Almost surely, 2^441442131144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441442131144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664003008000).

441442131144 is an abundant number, since it is smaller than the sum of its proper divisors (886563884856).

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

441442131144 is a wasteful number, since it uses less digits than its factorization.

441442131144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37587 (or 37583 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

Adding to 441442131144 its reverse (441131244144), we get a palindrome (882573375288).

The spelling of 441442131144 in words is "four hundred forty-one billion, four hundred forty-two million, one hundred thirty-one thousand, one hundred forty-four".