444240021440033 has 64 divisors (see below), whose sum is σ = 578603397464064. Its totient is φ = 331447086432000.

The previous prime is 444240021440009. The next prime is 444240021440041. The reversal of 444240021440033 is 330044120042444.

It is not a de Polignac number, because 444240021440033 - 2²⁰ = 444240020391457 is a prime.

It is a super-3 number, since 3×444240021440033³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444240021439975 and 444240021440002.

It is not an unprimeable number, because it can be changed into a prime (444240021440053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2411883203 + ... + 2412067383.

It is an arithmetic number, because the mean of its divisors is an integer number (9040678085376).

Almost surely, 2^{444240021440033} is an apocalyptic number.

It is an amenable number.

444240021440033 is a deficient number, since it is larger than the sum of its proper divisors (134363376024031).

444240021440033 is a wasteful number, since it uses less digits than its factorization.

444240021440033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200526.

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 444240021440033 its reverse (330044120042444), we get a palindrome (774284141482477).

The spelling of 444240021440033 in words is "four hundred forty-four trillion, two hundred forty billion, twenty-one million, four hundred forty thousand, thirty-three".