42168128 has 28 divisors (see below), whose sum is σ = 83888580. Its totient is φ = 21030912.

The previous prime is 42168127. The next prime is 42168167. The reversal of 42168128 is 82186124.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11343424 + 30824704 = 3368^2 + 5552^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 42168094 and 42168103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42168121) 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 3 ways as a sum of consecutive naturals, for example, 41288 + ... + 42296.

Almost surely, 2^42168128 is an apocalyptic number.

It is an amenable number.

42168128 is a deficient number, since it is larger than the sum of its proper divisors (41720452).

42168128 is a wasteful number, since it uses less digits than its factorization.

42168128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1664 counting only the distinct ones).

The product of its digits is 6144, while the sum is 32.

The square root of 42168128 is about 6493.6990998968. The cubic root of 42168128 is about 348.0658702985.

The spelling of 42168128 in words is "forty-two million, one hundred sixty-eight thousand, one hundred twenty-eight".