444230313000 has 128 divisors (see below), whose sum is σ = 1386602979840. Its totient is φ = 118409760000.

The previous prime is 444230312983. The next prime is 444230313013. The reversal of 444230313000 is 313032444.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 7111905 + ... + 7174095.

It is an arithmetic number, because the mean of its divisors is an integer number (10832835780).

Almost surely, 2^444230313000 is an apocalyptic number.

444230313000 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 444230313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693301489920).

444230313000 is an abundant number, since it is smaller than the sum of its proper divisors (942372666840).

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

444230313000 is a wasteful number, since it uses less digits than its factorization.

444230313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64596 (or 64582 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 444230313000 its reverse (313032444), we get a palindrome (444543345444).

The spelling of 444230313000 in words is "four hundred forty-four billion, two hundred thirty million, three hundred thirteen thousand".