444413040040 has 32 divisors (see below), whose sum is σ = 1024317864360. Its totient is φ = 173429478400.

The previous prime is 444413040031. The next prime is 444413040041. The reversal of 444413040040 is 40040314444.

It can be written as a sum of positive squares in 4 ways, for example, as 103546229796 + 340866810244 = 321786^2 + 583838^2 .

It is a junction number, because it is equal to n+sod(n) for n = 444413039990 and 444413040008.

It is not an unprimeable number, because it can be changed into a prime (444413040041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135490141 + ... + 135493420.

Almost surely, 2^444413040040 is an apocalyptic number.

444413040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444413040040 is an abundant number, since it is smaller than the sum of its proper divisors (579904824320).

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

444413040040 is a wasteful number, since it uses less digits than its factorization.

444413040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270983613 (or 270983609 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 444413040040 its reverse (40040314444), we get a palindrome (484453354484).

The spelling of 444413040040 in words is "four hundred forty-four billion, four hundred thirteen million, forty thousand, forty".