71541442117120 has 80 divisors (see below), whose sum is σ = 175520897394480. Its totient is φ = 27951075016704.

The previous prime is 71541442117039. The next prime is 71541442117207. The reversal of 71541442117120 is 2171124414517.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 324841965 + ... + 325062124.

It is an arithmetic number, because the mean of its divisors is an integer number (2194011217431).

Almost surely, 2^{71541442117120} is an apocalyptic number.

It is an amenable number.

71541442117120 is an abundant number, since it is smaller than the sum of its proper divisors (103979455277360).

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

71541442117120 is an equidigital number, since it uses as much as digits as its factorization.

71541442117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649904155 (or 649904139 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 40.

The spelling of 71541442117120 in words is "seventy-one trillion, five hundred forty-one billion, four hundred forty-two million, one hundred seventeen thousand, one hundred twenty".