444004440400 has 30 divisors (see below), whose sum is σ = 1066720669022. Its totient is φ = 177601776000.

The previous prime is 444004440367. The next prime is 444004440413. The reversal of 444004440400 is 4044400444.

It can be written as a sum of positive squares in 3 ways, for example, as 842624784 + 443161815616 = 29028^2 + 665704^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 555005151 + ... + 555005950.

Almost surely, 2^444004440400 is an apocalyptic number.

444004440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444004440400 is an abundant number, since it is smaller than the sum of its proper divisors (622716228622).

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

444004440400 is a wasteful number, since it uses less digits than its factorization.

444004440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110011119 (or 1110011108 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 444004440400 its reverse (4044400444), we get a palindrome (448048840844).

The spelling of 444004440400 in words is "four hundred forty-four billion, four million, four hundred forty thousand, four hundred".