4442114252544 has 576 divisors, whose sum is σ = 13192139520000. Its totient is φ = 1321346138112.

The previous prime is 4442114252507. The next prime is 4442114252561. The reversal of 4442114252544 is 4452524112444.

It is a junction number, because it is equal to n+sod(n) for n = 4442114252496 and 4442114252505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2975293462 + ... + 2975294954.

It is an arithmetic number, because the mean of its divisors is an integer number (22903020000).

Almost surely, 2^{4442114252544} 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 4442114252544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6596069760000).

4442114252544 is an abundant number, since it is smaller than the sum of its proper divisors (8750025267456).

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

4442114252544 is a wasteful number, since it uses less digits than its factorization.

4442114252544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1714 counting only the distinct ones).

The product of its digits is 819200, while the sum is 42.

Adding to 4442114252544 its reverse (4452524112444), we get a palindrome (8894638364988).

The spelling of 4442114252544 in words is "four trillion, four hundred forty-two billion, one hundred fourteen million, two hundred fifty-two thousand, five hundred forty-four".