443131204020040 has 128 divisors (see below), whose sum is σ = 1009792955052000. Its totient is φ = 174992493772800.

The previous prime is 443131204020019. The next prime is 443131204020079. The reversal of 443131204020040 is 40020402131344.

It can be written as a sum of positive squares in 16 ways, for example, as 26309246596516 + 416821957423524 = 5129254^2 + 20416218^2 .

It is a junction number, because it is equal to n+sod(n) for n = 443131204019990 and 443131204020008.

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, 7543785070 + ... + 7543843810.

Almost surely, 2^{443131204020040} is an apocalyptic number.

443131204020040 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 443131204020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504896477526000).

443131204020040 is an abundant number, since it is smaller than the sum of its proper divisors (566661751031960).

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

443131204020040 is a wasteful number, since it uses less digits than its factorization.

443131204020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62051 (or 62047 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 443131204020040 its reverse (40020402131344), we get a palindrome (483151606151384).

The spelling of 443131204020040 in words is "four hundred forty-three trillion, one hundred thirty-one billion, two hundred four million, twenty thousand, forty".