71216941824 has 1440 divisors, whose sum is σ = 284917248000. Its totient is φ = 17557585920.

The previous prime is 71216941759. The next prime is 71216941949. The reversal of 71216941824 is 42814961217.

71216941824 is a `hidden beast` number, since 71 + 2 + 169 + 418 + 2 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 71216941824.

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 159 ways as a sum of consecutive naturals, for example, 2297320689 + ... + 2297320719.

It is an arithmetic number, because the mean of its divisors is an integer number (197859200).

Almost surely, 2^71216941824 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 71216941824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142458624000).

71216941824 is an abundant number, since it is smaller than the sum of its proper divisors (213700306176).

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

71216941824 is a wasteful number, since it uses less digits than its factorization.

71216941824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 79 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 71216941824 in words is "seventy-one billion, two hundred sixteen million, nine hundred forty-one thousand, eight hundred twenty-four".