4442313144 has 128 divisors (see below), whose sum is σ = 11808276480. Its totient is φ = 1390435200.

The previous prime is 4442313049. The next prime is 4442313149. The reversal of 4442313144 is 4413132444.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442313149) 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, 6110109 + ... + 6110835.

It is an arithmetic number, because the mean of its divisors is an integer number (92252160).

Almost surely, 2^4442313144 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 4442313144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5904138240).

4442313144 is an abundant number, since it is smaller than the sum of its proper divisors (7365963336).

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

4442313144 is a wasteful number, since it uses less digits than its factorization.

4442313144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 997 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 4442313144 is about 66650.6799965312. The cubic root of 4442313144 is about 1643.8785289214.

Adding to 4442313144 its reverse (4413132444), we get a palindrome (8855445588).

The spelling of 4442313144 in words is "four billion, four hundred forty-two million, three hundred thirteen thousand, one hundred forty-four".