4142424 has 128 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 1075200.

The previous prime is 4142423. The next prime is 4142429. The reversal of 4142424 is 4242414.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4142424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58309 + ... + 58379.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

Almost surely, 2^4142424 is an apocalyptic number.

4142424 is a gapful number since it is divisible by the number (44) 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 4142424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

4142424 is an abundant number, since it is smaller than the sum of its proper divisors (8921256).

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

4142424 is a wasteful number, since it uses less digits than its factorization.

4142424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its digits is 1024, while the sum is 21.

The square root of 4142424 is about 2035.2945732743. The cubic root of 4142424 is about 160.6022097196.

Adding to 4142424 its reverse (4242414), we get a palindrome (8384838).

The spelling of 4142424 in words is "four million, one hundred forty-two thousand, four hundred twenty-four".