444444444444441 has 64 divisors (see below), whose sum is σ = 729656905420800. Its totient is φ = 234843544221696.

The previous prime is 444444444444421. The next prime is 444444444444461. The reversal of 444444444444441 is 144444444444444.

It is an interprime number because it is at equal distance from previous prime (444444444444421) and next prime (444444444444461).

It is not a de Polignac number, because 444444444444441 - 2¹³ = 444444444436249 is a prime.

It is a Curzon number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (444444444444421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30904980 + ... + 42941898.

It is an arithmetic number, because the mean of its divisors is an integer number (11400889147200).

Almost surely, 2^{444444444444441} is an apocalyptic number.

It is an amenable number.

444444444444441 is a deficient number, since it is larger than the sum of its proper divisors (285212460976359).

444444444444441 is a wasteful number, since it uses less digits than its factorization.

444444444444441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12038758.

The product of its digits is 268435456, while the sum is 57.

Adding to 444444444444441 its reverse (144444444444444), we get a palindrome (588888888888885).

The spelling of 444444444444441 in words is "four hundred forty-four trillion, four hundred forty-four billion, four hundred forty-four million, four hundred forty-four thousand, four hundred forty-one".