42068886024 has 192 divisors, whose sum is σ = 122907960000. Its totient is φ = 11956032000.

The previous prime is 42068885993. The next prime is 42068886029.

42068886024 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (42068886029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5569002 + ... + 5576550.

It is an arithmetic number, because the mean of its divisors is an integer number (640145625).

Almost surely, 2^42068886024 is an apocalyptic number.

42068886024 is a gapful number since it is divisible by the number (44) 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 42068886024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61453980000).

42068886024 is an abundant number, since it is smaller than the sum of its proper divisors (80839073976).

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

42068886024 is a wasteful number, since it uses less digits than its factorization.

42068886024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7700 (or 7685 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 42068886024 in words is "forty-two billion, sixty-eight million, eight hundred eighty-six thousand, twenty-four".