42114941568 has 1152 divisors, whose sum is σ = 165869233920. Its totient is φ = 9985130496.

The previous prime is 42114941543. The next prime is 42114941641. The reversal of 42114941568 is 86514941124.

42114941568 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 49 + 41 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (276480) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1138241646 + ... + 1138241682.

It is an arithmetic number, because the mean of its divisors is an integer number (143983710).

Almost surely, 2^42114941568 is an apocalyptic number.

42114941568 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 42114941568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82934616960).

42114941568 is an abundant number, since it is smaller than the sum of its proper divisors (123754292352).

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

42114941568 is a wasteful number, since it uses less digits than its factorization.

42114941568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 108 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 42114941568 in words is "forty-two billion, one hundred fourteen million, nine hundred forty-one thousand, five hundred sixty-eight".