204442440444 has 72 divisors (see below), whose sum is σ = 563895101952. Its totient is φ = 61938014880.

The previous prime is 204442440427. The next prime is 204442440451. The reversal of 204442440444 is 444044244402.

204442440444 is a `hidden beast` number, since 204 + 4 + 4 + 2 + 4 + 4 + 0 + 444 = 666.

It is a super-2 number, since 2×204442440444² (a number of 23 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 = 204442440399 and 204442440408.

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, 1734037 + ... + 1848179.

It is an arithmetic number, because the mean of its divisors is an integer number (7831876416).

Almost surely, 2^204442440444 is an apocalyptic number.

It is an amenable number.

204442440444 is an abundant number, since it is smaller than the sum of its proper divisors (359452661508).

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

204442440444 is a wasteful number, since it uses less digits than its factorization.

204442440444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118687 (or 118682 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 204442440444 its reverse (444044244402), we get a palindrome (648486684846).

The spelling of 204442440444 in words is "two hundred four billion, four hundred forty-two million, four hundred forty thousand, four hundred forty-four".