8111881334340 has 360 divisors, whose sum is σ = 31159930919040. Its totient is φ = 1756557436032.

The previous prime is 8111881334329. The next prime is 8111881334383. The reversal of 8111881334340 is 434331881118.

8111881334340 is a `hidden beast` number, since 8 + 1 + 1 + 1 + 88 + 133 + 434 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1181004 + ... + 4197443.

It is an arithmetic number, because the mean of its divisors is an integer number (86555363664).

Almost surely, 2^{8111881334340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8111881334340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15579965459520).

8111881334340 is an abundant number, since it is smaller than the sum of its proper divisors (23048049584700).

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

8111881334340 is a wasteful number, since it uses less digits than its factorization.

8111881334340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5378501 (or 5378483 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 8111881334340 in words is "eight trillion, one hundred eleven billion, eight hundred eighty-one million, three hundred thirty-four thousand, three hundred forty".