71316685440 has 3072 divisors, whose sum is σ = 375072768000. Its totient is φ = 12541132800.

The previous prime is 71316685439. The next prime is 71316685529. The reversal of 71316685440 is 4458661317.

71316685440 is a `hidden beast` number, since 71 + 3 + 1 + 66 + 85 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent 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 383 ways as a sum of consecutive naturals, for example, 2300538225 + ... + 2300538255.

It is an arithmetic number, because the mean of its divisors is an integer number (122094000).

Almost surely, 2^71316685440 is an apocalyptic number.

71316685440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71316685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187536384000).

71316685440 is an abundant number, since it is smaller than the sum of its proper divisors (303756082560).

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

71316685440 is a wasteful number, since it uses less digits than its factorization.

71316685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 71316685440 in words is "seventy-one billion, three hundred sixteen million, six hundred eighty-five thousand, four hundred forty".