444440500000 has 336 divisors, whose sum is σ = 1304555801472. Its totient is φ = 145728000000.

The previous prime is 444440499941. The next prime is 444440500003. The reversal of 444440500000 is 5044444.

It is a super-4 number, since 4×444440500000⁴ (a number of 48 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (444440500003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 80497240 + ... + 80502760.

It is an arithmetic number, because the mean of its divisors is an integer number (3882606552).

Almost surely, 2^444440500000 is an apocalyptic number.

444440500000 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 444440500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652277900736).

444440500000 is an abundant number, since it is smaller than the sum of its proper divisors (860115301472).

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

444440500000 is an frugal number, since it uses more digits than its factorization.

444440500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 444440500000 its reverse (5044444), we get a palindrome (444445544444).

The spelling of 444440500000 in words is "four hundred forty-four billion, four hundred forty million, five hundred thousand".