71003635040 has 192 divisors, whose sum is σ = 188305108992. Its totient is φ = 25122355200.

The previous prime is 71003635013. The next prime is 71003635051. The reversal of 71003635040 is 4053630017.

It is a junction number, because it is equal to n+sod(n) for n = 71003634994 and 71003635012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6636095 + ... + 6646785.

It is an arithmetic number, because the mean of its divisors is an integer number (980755776).

Almost surely, 2^71003635040 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 71003635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94152554496).

71003635040 is an abundant number, since it is smaller than the sum of its proper divisors (117301473952).

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

71003635040 is a wasteful number, since it uses less digits than its factorization.

71003635040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10853 (or 10845 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The spelling of 71003635040 in words is "seventy-one billion, three million, six hundred thirty-five thousand, forty".