4040444440040 has 16 divisors (see below), whose sum is σ = 9090999990180. Its totient is φ = 1616177776000.

The previous prime is 4040444440007. The next prime is 4040444440117. The reversal of 4040444440040 is 400444440404.

It can be written as a sum of positive squares in 2 ways, for example, as 3470597606116 + 569846833924 = 1862954^2 + 754882^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4040444439979 and 4040444440006.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 50505555461 + ... + 50505555540.

Almost surely, 2^{4040444440040} is an apocalyptic number.

4040444440040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040444440040 is an abundant number, since it is smaller than the sum of its proper divisors (5050555550140).

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

4040444440040 is a wasteful number, since it uses less digits than its factorization.

4040444440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101011111012 (or 101011111008 counting only the distinct ones).

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

Adding to 4040444440040 its reverse (400444440404), we get a palindrome (4440888880444).

The spelling of 4040444440040 in words is "four trillion, forty billion, four hundred forty-four million, four hundred forty thousand, forty".