20116343271040 has 256 divisors, whose sum is σ = 50484486124800. Its totient is φ = 7650335784960.

The previous prime is 20116343271007. The next prime is 20116343271083. The reversal of 20116343271040 is 4017234361102.

It is a junction number, because it is equal to n+sod(n) for n = 20116343270987 and 20116343271005.

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 31 ways as a sum of consecutive naturals, for example, 2167471200 + ... + 2167480480.

It is an arithmetic number, because the mean of its divisors is an integer number (197205023925).

Almost surely, 2^{20116343271040} is an apocalyptic number.

20116343271040 is a gapful number since it is divisible by the number (20) 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 20116343271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25242243062400).

20116343271040 is an abundant number, since it is smaller than the sum of its proper divisors (30368142853760).

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

20116343271040 is a wasteful number, since it uses less digits than its factorization.

20116343271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10195 (or 10183 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 20116343271040 in words is "twenty trillion, one hundred sixteen billion, three hundred forty-three million, two hundred seventy-one thousand, forty".