42243936768 has 240 divisors, whose sum is σ = 133318538496. Its totient is φ = 12770795520.

The previous prime is 42243936739. The next prime is 42243936797. The reversal of 42243936768 is 86763934224.

It is an interprime number because it is at equal distance from previous prime (42243936739) and next prime (42243936797).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30766930 + ... + 30768302.

Almost surely, 2^42243936768 is an apocalyptic number.

42243936768 is a gapful number since it is divisible by the number (48) 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 42243936768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66659269248).

42243936768 is an abundant number, since it is smaller than the sum of its proper divisors (91074601728).

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

42243936768 is a wasteful number, since it uses less digits than its factorization.

42243936768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 1996 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 42243936768 in words is "forty-two billion, two hundred forty-three million, nine hundred thirty-six thousand, seven hundred sixty-eight".