8018681711040 has 896 divisors, whose sum is σ = 37981302589440. Its totient is φ = 1538047180800.

The previous prime is 8018681710999. The next prime is 8018681711077. The reversal of 8018681711040 is 401171868108.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8185060 + ... + 9112220.

It is an arithmetic number, because the mean of its divisors is an integer number (42389846640).

Almost surely, 2^{8018681711040} is an apocalyptic number.

8018681711040 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 8018681711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18990651294720).

8018681711040 is an abundant number, since it is smaller than the sum of its proper divisors (29962620878400).

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

8018681711040 is a wasteful number, since it uses less digits than its factorization.

8018681711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927218 (or 927202 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 45.

The spelling of 8018681711040 in words is "eight trillion, eighteen billion, six hundred eighty-one million, seven hundred eleven thousand, forty".