42114768 has 40 divisors (see below), whose sum is σ = 109368000. Its totient is φ = 13964544.

The previous prime is 42114767. The next prime is 42114823. The reversal of 42114768 is 86741124.

It is a super-3 number, since 3×42114768³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42114767) 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 7 ways as a sum of consecutive naturals, for example, 7348 + ... + 11756.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 2^42114768 is an apocalyptic number.

42114768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42114768 is an abundant number, since it is smaller than the sum of its proper divisors (67253232).

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

42114768 is a wasteful number, since it uses less digits than its factorization.

42114768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4613 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 42114768 is about 6489.5892011744. The cubic root of 42114768 is about 347.9189929032.

The spelling of 42114768 in words is "forty-two million, one hundred fourteen thousand, seven hundred sixty-eight".