40442444442441 has 20 divisors (see below), whose sum is σ = 60474617875012. Its totient is φ = 26934586816608.

The previous prime is 40442444442427. The next prime is 40442444442451. The reversal of 40442444442441 is 14424444424404.

It can be written as a sum of positive squares in 2 ways, for example, as 26726532192441 + 13715912250000 = 5169771^2 + 3703500^2 .

It is not a de Polignac number, because 40442444442441 - 2¹⁷ = 40442444311369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40442444442451) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 250315150 + ... + 250476663.

Almost surely, 2^{40442444442441} is an apocalyptic number.

It is an amenable number.

40442444442441 is a deficient number, since it is larger than the sum of its proper divisors (20032173432571).

40442444442441 is an equidigital number, since it uses as much as digits as its factorization.

40442444442441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500792822 (or 500792813 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 45.

Adding to 40442444442441 its reverse (14424444424404), we get a palindrome (54866888866845).

The spelling of 40442444442441 in words is "forty trillion, four hundred forty-two billion, four hundred forty-four million, four hundred forty-two thousand, four hundred forty-one".