444004008400 has 60 divisors (see below), whose sum is σ = 1071775377184. Its totient is φ = 176759856000.

The previous prime is 444004008317. The next prime is 444004008401. The reversal of 444004008400 is 4800400444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444004008401) 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 11 ways as a sum of consecutive naturals, for example, 2545956 + ... + 2714755.

Almost surely, 2^444004008400 is an apocalyptic number.

444004008400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444004008400 is an abundant number, since it is smaller than the sum of its proper divisors (627771368784).

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

444004008400 is a wasteful number, since it uses less digits than its factorization.

444004008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5260940 (or 5260929 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 444004008400 its reverse (4800400444), we get a palindrome (448804408844).

The spelling of 444004008400 in words is "four hundred forty-four billion, four million, eight thousand, four hundred".