8211311040 has 56 divisors (see below), whose sum is σ = 26070915600. Its totient is φ = 2189682688.

The previous prime is 8211311033. The next prime is 8211311047. The reversal of 8211311040 is 401131128.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8211311033) and next prime (8211311047).

It is a junction number, because it is equal to n+sod(n) for n = 8211310998 and 8211311016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8211311047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4275765 + ... + 4277684.

Almost surely, 2^8211311040 is an apocalyptic number.

8211311040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8211311040 is an abundant number, since it is smaller than the sum of its proper divisors (17859604560).

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

8211311040 is a wasteful number, since it uses less digits than its factorization.

8211311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8553469 (or 8553459 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 8211311040 is about 90616.2846291990. The cubic root of 8211311040 is about 2017.4564462866.

Adding to 8211311040 its reverse (401131128), we get a palindrome (8612442168).

The spelling of 8211311040 in words is "eight billion, two hundred eleven million, three hundred eleven thousand, forty".