444433200444 has 72 divisors (see below), whose sum is σ = 1233971706240. Its totient is φ = 134245264032.

The previous prime is 444433200433. The next prime is 444433200457. The reversal of 444433200444 is 444002334444.

444433200444 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 3 + 3 + 200 + 444 = 666.

444433200444 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 = 444433200399 and 444433200408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14109402 + ... + 14140865.

It is an arithmetic number, because the mean of its divisors is an integer number (17138495920).

Almost surely, 2^444433200444 is an apocalyptic number.

It is an amenable number.

444433200444 is an abundant number, since it is smaller than the sum of its proper divisors (789538505796).

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

444433200444 is a wasteful number, since it uses less digits than its factorization.

444433200444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28250319 (or 28250314 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 444433200444 its reverse (444002334444), we get a palindrome (888435534888).

The spelling of 444433200444 in words is "four hundred forty-four billion, four hundred thirty-three million, two hundred thousand, four hundred forty-four".