444044000000 has 252 divisors, whose sum is σ = 1143986606784. Its totient is φ = 171840000000.

The previous prime is 444043999999. The next prime is 444044000009. The reversal of 444044000000 is 440444.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (444044000009) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 123998210 + ... + 124001790.

It is an arithmetic number, because the mean of its divisors is an integer number (4539629392).

Almost surely, 2^444044000000 is an apocalyptic number.

444044000000 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 444044000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571993303392).

444044000000 is an abundant number, since it is smaller than the sum of its proper divisors (699942606784).

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

444044000000 is an frugal number, since it uses more digits than its factorization.

444044000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3658 (or 3619 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 444044000000 its reverse (440444), we get a palindrome (444044440444).

It can be divided in two parts, 44404 and 4000000, that added together give a palindrome (4044404).

The spelling of 444044000000 in words is "four hundred forty-four billion, forty-four million", and thus it is an aban number.