444008097800 has 144 divisors (see below), whose sum is σ = 1123368217020. Its totient is φ = 163078144000.

The previous prime is 444008097763. The next prime is 444008097821. The reversal of 444008097800 is 8790800444.

It can be written as a sum of positive squares in 18 ways, for example, as 12955447684 + 431052650116 = 113822^2 + 656546^2 .

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 35 ways as a sum of consecutive naturals, for example, 2276120 + ... + 2463480.

Almost surely, 2^444008097800 is an apocalyptic number.

444008097800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444008097800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561684108510).

444008097800 is an abundant number, since it is smaller than the sum of its proper divisors (679360119220).

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

444008097800 is a wasteful number, since it uses less digits than its factorization.

444008097800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187452 (or 187426 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 444008097800 in words is "four hundred forty-four billion, eight million, ninety-seven thousand, eight hundred".