44424414441 has 45 divisors (see below), whose sum is σ = 72978069703. Its totient is φ = 26911241280.

The previous prime is 44424414427. The next prime is 44424414451. The reversal of 44424414441 is 14441442444.

The square root of 44424414441 is 210771.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11242148841 + 33182265600 = 106029^2 + 182160^2 .

It is not a de Polignac number, because 44424414441 - 2¹³ = 44424406249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 44424414396 and 44424414405.

It is not an unprimeable number, because it can be changed into a prime (44424414451) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20865265 + ... + 20867393.

Almost surely, 2^44424414441 is an apocalyptic number.

44424414441 is the 210771-st square number.

44424414441 is the 105386-th centered octagonal number.

It is an amenable number.

44424414441 is a deficient number, since it is larger than the sum of its proper divisors (28553655262).

44424414441 is an frugal number, since it uses more digits than its factorization.

44424414441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 2143 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

Multiplying 44424414441 by its sum of digits (36), we get a square (1599278919876 = 1264626²).

Adding to 44424414441 its reverse (14441442444), we get a palindrome (58865856885).

The spelling of 44424414441 in words is "forty-four billion, four hundred twenty-four million, four hundred fourteen thousand, four hundred forty-one".