444240004041 has 64 divisors (see below), whose sum is σ = 703145318400. Its totient is φ = 276583507200.

The previous prime is 444240003959. The next prime is 444240004097. The reversal of 444240004041 is 140400042444.

444240004041 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 444240004041 - 2¹¹ = 444240001993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 444240003996 and 444240004014.

It is not an unprimeable number, because it can be changed into a prime (444240004841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69441855 + ... + 69448251.

It is an arithmetic number, because the mean of its divisors is an integer number (10986645600).

Almost surely, 2^444240004041 is an apocalyptic number.

It is an amenable number.

444240004041 is a deficient number, since it is larger than the sum of its proper divisors (258905314359).

444240004041 is a wasteful number, since it uses less digits than its factorization.

444240004041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9327 (or 9321 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 444240004041 its reverse (140400042444), we get a palindrome (584640046485).

The spelling of 444240004041 in words is "four hundred forty-four billion, two hundred forty million, four thousand, forty-one".