71407338033668 has 288 divisors, whose sum is σ = 162561694901760. Its totient is φ = 27181265126400.

The previous prime is 71407338033659. The next prime is 71407338033671. The reversal of 71407338033668 is 86633083370417.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9017212613 + ... + 9017220531.

It is an arithmetic number, because the mean of its divisors is an integer number (564450329520).

Almost surely, 2^{71407338033668} 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 71407338033668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81280847450880).

71407338033668 is an abundant number, since it is smaller than the sum of its proper divisors (91154356868092).

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

71407338033668 is a wasteful number, since it uses less digits than its factorization.

71407338033668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9035 (or 9026 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 59.

The spelling of 71407338033668 in words is "seventy-one trillion, four hundred seven billion, three hundred thirty-eight million, thirty-three thousand, six hundred sixty-eight".