42068961792 has 480 divisors, whose sum is σ = 147191204160. Its totient is φ = 11760353280.

The previous prime is 42068961791. The next prime is 42068961793. The reversal of 42068961792 is 29716986024.

42068961792 is a `hidden beast` number, since 420 + 68 + 96 + 1 + 79 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (42068961791) and next prime (42068961793).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42068961791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25697998 + ... + 25699634.

It is an arithmetic number, because the mean of its divisors is an integer number (306648342).

Almost surely, 2^42068961792 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 42068961792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73595602080).

42068961792 is an abundant number, since it is smaller than the sum of its proper divisors (105122242368).

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

42068961792 is a wasteful number, since it uses less digits than its factorization.

42068961792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 42068961792 in words is "forty-two billion, sixty-eight million, nine hundred sixty-one thousand, seven hundred ninety-two".