444023313444 has 72 divisors (see below), whose sum is σ = 1184633690240. Its totient is φ = 139841888832.

The previous prime is 444023313443. The next prime is 444023313449. The reversal of 444023313444 is 444313320444.

444023313444 is a `hidden beast` number, since 44 + 40 + 233 + 1 + 344 + 4 = 666.

It is a super-2 number, since 2×444023313444² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 444023313399 and 444023313408.

It is not an unprimeable number, because it can be changed into a prime (444023313443) 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 23 ways as a sum of consecutive naturals, for example, 615052 + ... + 1125315.

Almost surely, 2^444023313444 is an apocalyptic number.

It is an amenable number.

444023313444 is an abundant number, since it is smaller than the sum of its proper divisors (740610376796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444023313444 is a wasteful number, since it uses less digits than its factorization.

444023313444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740769 (or 1740764 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 444023313444 its reverse (444313320444), we get a palindrome (888336633888).

The spelling of 444023313444 in words is "four hundred forty-four billion, twenty-three million, three hundred thirteen thousand, four hundred forty-four".