71940534205840 has 40 divisors (see below), whose sum is σ = 171782329658040. Its totient is φ = 27998478176256.

The previous prime is 71940534205807. The next prime is 71940534205843. The reversal of 71940534205840 is 4850243504917.

71940534205840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11559428807056 + 60381105398784 = 3399916^2 + 7770528^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (71940534205843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12152114305 + ... + 12152120224.

It is an arithmetic number, because the mean of its divisors is an integer number (4294558241451).

Almost surely, 2^{71940534205840} is an apocalyptic number.

It is an amenable number.

71940534205840 is an abundant number, since it is smaller than the sum of its proper divisors (99841795452200).

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

71940534205840 is a wasteful number, since it uses less digits than its factorization.

71940534205840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24304234579 (or 24304234573 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 71940534205840 in words is "seventy-one trillion, nine hundred forty billion, five hundred thirty-four million, two hundred five thousand, eight hundred forty".