8191040435144 has 128 divisors (see below), whose sum is σ = 17912171692800. Its totient is φ = 3438889896960.

The previous prime is 8191040435131. The next prime is 8191040435173. The reversal of 8191040435144 is 4415340401918.

It is a junction number, because it is equal to n+sod(n) for n = 8191040435095 and 8191040435104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2313198014 + ... + 2313201554.

It is an arithmetic number, because the mean of its divisors is an integer number (139938841350).

Almost surely, 2^{8191040435144} 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 8191040435144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8956085846400).

8191040435144 is an abundant number, since it is smaller than the sum of its proper divisors (9721131257656).

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

8191040435144 is a wasteful number, since it uses less digits than its factorization.

8191040435144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5863 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 8191040435144 in words is "eight trillion, one hundred ninety-one billion, forty million, four hundred thirty-five thousand, one hundred forty-four".