8241043120128 has 2016 divisors, whose sum is σ = 31712661699264. Its totient is φ = 2118949797888.

The previous prime is 8241043120091. The next prime is 8241043120157. The reversal of 8241043120128 is 8210213401428.

8241043120128 is a `hidden beast` number, since 8 + 2 + 4 + 10 + 431 + 201 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8241043120092 and 8241043120101.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84959207376 + ... + 84959207472.

It is an arithmetic number, because the mean of its divisors is an integer number (15730486954).

Almost surely, 2^{8241043120128} 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 8241043120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15856330849632).

8241043120128 is an abundant number, since it is smaller than the sum of its proper divisors (23471618579136).

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

8241043120128 is an equidigital number, since it uses as much as digits as its factorization.

8241043120128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 8241043120128 in words is "eight trillion, two hundred forty-one billion, forty-three million, one hundred twenty thousand, one hundred twenty-eight".