444040440000 has 280 divisors, whose sum is σ = 1482677428848. Its totient is φ = 117235200000.

The previous prime is 444040439993. The next prime is 444040440037. The reversal of 444040440000 is 44040444.

444040440000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12101682 + ... + 12138318.

Almost surely, 2^444040440000 is an apocalyptic number.

444040440000 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 444040440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741338714424).

444040440000 is an abundant number, since it is smaller than the sum of its proper divisors (1038636988848).

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

444040440000 is a wasteful number, since it uses less digits than its factorization.

444040440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36773 (or 36748 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 444040440000 its reverse (44040444), we get a palindrome (444084480444).

The spelling of 444040440000 in words is "four hundred forty-four billion, forty million, four hundred forty thousand".