444404004400 has 60 divisors (see below), whose sum is σ = 1077129231192. Its totient is φ = 176188472320.

The previous prime is 444404004349. The next prime is 444404004431. The reversal of 444404004400 is 4400404444.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4870774 + ... + 4961173.

Almost surely, 2^444404004400 is an apocalyptic number.

444404004400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444404004400 is an abundant number, since it is smaller than the sum of its proper divisors (632725226792).

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

444404004400 is a wasteful number, since it uses less digits than its factorization.

444404004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9832078 (or 9832067 counting only the distinct ones).

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

Adding to 444404004400 its reverse (4400404444), we get a palindrome (448804408844).

The spelling of 444404004400 in words is "four hundred forty-four billion, four hundred four million, four thousand, four hundred".