71168801040 has 320 divisors, whose sum is σ = 248046624000. Its totient is φ = 18754560000.

The previous prime is 71168801027. The next prime is 71168801063. The reversal of 71168801040 is 4010886117.

It is a super-2 number, since 2×71168801040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71168800986 and 71168801004.

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 63 ways as a sum of consecutive naturals, for example, 80781400 + ... + 80782280.

It is an arithmetic number, because the mean of its divisors is an integer number (775145700).

Almost surely, 2^71168801040 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 71168801040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124023312000).

71168801040 is an abundant number, since it is smaller than the sum of its proper divisors (176877822960).

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

71168801040 is a wasteful number, since it uses less digits than its factorization.

71168801040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 71168801040 in words is "seventy-one billion, one hundred sixty-eight million, eight hundred one thousand, forty".