42791052068460 has 288 divisors, whose sum is σ = 132394808564928. Its totient is φ = 11184182231040.

The previous prime is 42791052068449. The next prime is 42791052068543. The reversal of 42791052068460 is 6486025019724.

42791052068460 is a `hidden beast` number, since 4 + 2 + 7 + 9 + 10 + 520 + 68 + 46 + 0 = 666.

42791052068460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42791052068397 and 42791052068406.

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 95 ways as a sum of consecutive naturals, for example, 4198077124 + ... + 4198087316.

It is an arithmetic number, because the mean of its divisors is an integer number (459704196406).

Almost surely, 2^{42791052068460} 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 42791052068460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66197404282464).

42791052068460 is an abundant number, since it is smaller than the sum of its proper divisors (89603756496468).

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

42791052068460 is a wasteful number, since it uses less digits than its factorization.

42791052068460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11585 (or 11580 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 42791052068460 in words is "forty-two trillion, seven hundred ninety-one billion, fifty-two million, sixty-eight thousand, four hundred sixty".