8001163940 has 288 divisors, whose sum is σ = 22403703168. Its totient is φ = 2370816000.

The previous prime is 8001163913. The next prime is 8001163969. The reversal of 8001163940 is 493611008.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8001163897 and 8001163906.

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, 19004930 + ... + 19005350.

It is an arithmetic number, because the mean of its divisors is an integer number (77790636).

Almost surely, 2^8001163940 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 8001163940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11201851584).

8001163940 is an abundant number, since it is smaller than the sum of its proper divisors (14402539228).

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

8001163940 is a wasteful number, since it uses less digits than its factorization.

8001163940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 8001163940 is about 89449.2254857469. The cubic root of 8001163940 is about 2000.0969902964.

Adding to 8001163940 its reverse (493611008), we get a palindrome (8494774948).

The spelling of 8001163940 in words is "eight billion, one million, one hundred sixty-three thousand, nine hundred forty".