82040244204028 has 48 divisors (see below), whose sum is σ = 169363771928064. Its totient is φ = 34350676816640.

The previous prime is 82040244203989. The next prime is 82040244204049.

It is a happy number.

82040244204028 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1166767726 + ... + 1166838037.

It is an arithmetic number, because the mean of its divisors is an integer number (3528411915168).

Almost surely, 2^{82040244204028} is an apocalyptic number.

It is an amenable number.

82040244204028 is an abundant number, since it is smaller than the sum of its proper divisors (87323527724036).

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

82040244204028 is a wasteful number, since it uses less digits than its factorization.

82040244204028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333605842 (or 2333605840 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 82040244204028 in words is "eighty-two trillion, forty billion, two hundred forty-four million, two hundred four thousand, twenty-eight".