4044424410441 has 40 divisors (see below), whose sum is σ = 6080886789120. Its totient is φ = 2678808804192.

The previous prime is 4044424410419. The next prime is 4044424410457. The reversal of 4044424410441 is 1440144244404.

4044424410441 is a `hidden beast` number, since 404 + 4 + 4 + 244 + 1 + 0 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 4044424410441 - 2⁹ = 4044424409929 is a prime.

It is a super-6 number, since 6×4044424410441⁶ (a number of 77 digits) contains 666666 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4044424410396 and 4044424410405.

It is not an unprimeable number, because it can be changed into a prime (4044424410241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16070520 + ... + 16320246.

It is an arithmetic number, because the mean of its divisors is an integer number (152022169728).

Almost surely, 2^{4044424410441} is an apocalyptic number.

It is an amenable number.

4044424410441 is a deficient number, since it is larger than the sum of its proper divisors (2036462378679).

4044424410441 is a wasteful number, since it uses less digits than its factorization.

4044424410441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251035 (or 251026 counting only the distinct ones).

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

Adding to 4044424410441 its reverse (1440144244404), we get a palindrome (5484568654845).

The spelling of 4044424410441 in words is "four trillion, forty-four billion, four hundred twenty-four million, four hundred ten thousand, four hundred forty-one".