444004040133 has 16 divisors (see below), whose sum is σ = 657873321600. Its totient is φ = 295962392160.

The previous prime is 444004040113. The next prime is 444004040203. The reversal of 444004040133 is 331040400444.

It is not a de Polignac number, because 444004040133 - 2⁶ = 444004040069 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 = 444004040097 and 444004040106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444004040113) 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 15 ways as a sum of consecutive naturals, for example, 916833 + ... + 1314758.

It is an arithmetic number, because the mean of its divisors is an integer number (41117082600).

Almost surely, 2^444004040133 is an apocalyptic number.

It is an amenable number.

444004040133 is a deficient number, since it is larger than the sum of its proper divisors (213869281467).

444004040133 is a wasteful number, since it uses less digits than its factorization.

444004040133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238969 (or 2238963 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 444004040133 its reverse (331040400444), we get a palindrome (775044440577).

The spelling of 444004040133 in words is "four hundred forty-four billion, four million, forty thousand, one hundred thirty-three".