71310044160 has 1056 divisors, whose sum is σ = 280731147840. Its totient is φ = 16647192576.

The previous prime is 71310044153. The next prime is 71310044191. The reversal of 71310044160 is 6144001317.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 976849884 + ... + 976849956.

It is an arithmetic number, because the mean of its divisors is an integer number (265843890).

Almost surely, 2^71310044160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71310044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140365573920).

71310044160 is an abundant number, since it is smaller than the sum of its proper divisors (209421103680).

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

71310044160 is a wasteful number, since it uses less digits than its factorization.

71310044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 71310044160 its reverse (6144001317), we get a palindrome (77454045477).

The spelling of 71310044160 in words is "seventy-one billion, three hundred ten million, forty-four thousand, one hundred sixty".