8040040320 has 256 divisors, whose sum is σ = 27758606400. Its totient is φ = 1967652864.

The previous prime is 8040040303. The next prime is 8040040357. The reversal of 8040040320 is 230400408.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4816446 + ... + 4818114.

Almost surely, 2^8040040320 is an apocalyptic number.

8040040320 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 8040040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13879303200).

8040040320 is an abundant number, since it is smaller than the sum of its proper divisors (19718566080).

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

8040040320 is a wasteful number, since it uses less digits than its factorization.

8040040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 8040040320 is about 89666.2719198250. The cubic root of 8040040320 is about 2003.3311419995.

Adding to 8040040320 its reverse (230400408), we get a palindrome (8270440728).

The spelling of 8040040320 in words is "eight billion, forty million, forty thousand, three hundred twenty".