8138711040 has 224 divisors, whose sum is σ = 26328136320. Its totient is φ = 2146566144.

The previous prime is 8138711039. The next prime is 8138711057. The reversal of 8138711040 is 401178318.

It is a junction number, because it is equal to n+sod(n) for n = 8138710992 and 8138711010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13147851 + ... + 13148469.

Almost surely, 2^8138711040 is an apocalyptic number.

8138711040 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 8138711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13164068160).

8138711040 is an abundant number, since it is smaller than the sum of its proper divisors (18189425280).

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

8138711040 is a wasteful number, since it uses less digits than its factorization.

8138711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 8138711040 is about 90214.8049934156. The cubic root of 8138711040 is about 2011.4930813628.

Adding to 8138711040 its reverse (401178318), we get a palindrome (8539889358).

The spelling of 8138711040 in words is "eight billion, one hundred thirty-eight million, seven hundred eleven thousand, forty".