444431323000 has 384 divisors, whose sum is σ = 1336672471680. Its totient is φ = 137171865600.

The previous prime is 444431322961. The next prime is 444431323027. The reversal of 444431323000 is 323134444.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 444431323000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19147402 + ... + 19170598.

It is an arithmetic number, because the mean of its divisors is an integer number (3480917895).

Almost surely, 2^444431323000 is an apocalyptic number.

444431323000 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 444431323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668336235840).

444431323000 is an abundant number, since it is smaller than the sum of its proper divisors (892241148680).

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

444431323000 is a wasteful number, since it uses less digits than its factorization.

444431323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23272 (or 23251 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 444431323000 its reverse (323134444), we get a palindrome (444754457444).

The spelling of 444431323000 in words is "four hundred forty-four billion, four hundred thirty-one million, three hundred twenty-three thousand".