8006143040 has 112 divisors (see below), whose sum is σ = 21899953152. Its totient is φ = 2730878976.

The previous prime is 8006142971. The next prime is 8006143063. The reversal of 8006143040 is 403416008.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 432209 + ... + 450351.

It is an arithmetic number, because the mean of its divisors is an integer number (195535296).

Almost surely, 2^8006143040 is an apocalyptic number.

8006143040 is a gapful number since it is divisible by the number (80) 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 8006143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10949976576).

8006143040 is an abundant number, since it is smaller than the sum of its proper divisors (13893810112).

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

8006143040 is a wasteful number, since it uses less digits than its factorization.

8006143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18364 (or 18354 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 8006143040 is about 89477.0531477205. The cubic root of 8006143040 is about 2000.5117890248.

Adding to 8006143040 its reverse (403416008), we get a palindrome (8409559048).

The spelling of 8006143040 in words is "eight billion, six million, one hundred forty-three thousand, forty".