82112117130440 has 16 divisors (see below), whose sum is σ = 184752263543580. Its totient is φ = 32844846852160.

The previous prime is 82112117130383. The next prime is 82112117130493. The reversal of 82112117130440 is 4403171121128.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 82003637803396 + 108479327044 = 9055586^2 + 329362^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82112117130440.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1026401464091 + ... + 1026401464170.

Almost surely, 2^{82112117130440} is an apocalyptic number.

It is an amenable number.

82112117130440 is an abundant number, since it is smaller than the sum of its proper divisors (102640146413140).

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

82112117130440 is a wasteful number, since it uses less digits than its factorization.

82112117130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052802928272 (or 2052802928268 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

Adding to 82112117130440 its reverse (4403171121128), we get a palindrome (86515288251568).

The spelling of 82112117130440 in words is "eighty-two trillion, one hundred twelve billion, one hundred seventeen million, one hundred thirty thousand, four hundred forty".