444404044040 has 128 divisors (see below), whose sum is σ = 1106026669440. Its totient is φ = 159360000000.

The previous prime is 444404043997. The next prime is 444404044109. The reversal of 444404044040 is 40440404444.

It is a junction number, because it is equal to n+sod(n) for n = 444404043988 and 444404044006.

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, 11134520 + ... + 11174360.

It is an arithmetic number, because the mean of its divisors is an integer number (8640833355).

Almost surely, 2^444404044040 is an apocalyptic number.

444404044040 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 444404044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553013334720).

444404044040 is an abundant number, since it is smaller than the sum of its proper divisors (661622625400).

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

444404044040 is a wasteful number, since it uses less digits than its factorization.

444404044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40215 (or 40211 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 444404044040 its reverse (40440404444), we get a palindrome (484844448484).

It can be divided in two parts, 44440404 and 4040, that added together give a palindrome (44444444).

The spelling of 444404044040 in words is "four hundred forty-four billion, four hundred four million, forty-four thousand, forty".