4242000042 has 24 divisors (see below), whose sum is σ = 10504000416. Its totient is φ = 1211999976.

The previous prime is 4242000029. The next prime is 4242000047. The reversal of 4242000042 is 2400002424.

4242000042 is a `hidden beast` number, since 424 + 200 + 0 + 0 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4241999979 and 4242000024.

It is not an unprimeable number, because it can be changed into a prime (4242000047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16833208 + ... + 16833459.

It is an arithmetic number, because the mean of its divisors is an integer number (437666684).

Almost surely, 2^4242000042 is an apocalyptic number.

4242000042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4242000042 is an abundant number, since it is smaller than the sum of its proper divisors (6262000374).

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

4242000042 is a wasteful number, since it uses less digits than its factorization.

4242000042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33666682 (or 33666679 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4242000042 is about 65130.6382741640. The cubic root of 4242000042 is about 1618.7889188041.

Adding to 4242000042 its reverse (2400002424), we get a palindrome (6642002466).

The spelling of 4242000042 in words is "four billion, two hundred forty-two million, forty-two", and thus it is an aban number.