4142111424 has 112 divisors (see below), whose sum is σ = 12001414656. Its totient is φ = 1250380800.

The previous prime is 4142111417. The next prime is 4142111443. The reversal of 4142111424 is 4241112414.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 4142111394 and 4142111403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568734 + ... + 575970.

It is an arithmetic number, because the mean of its divisors is an integer number (107155488).

Almost surely, 2^4142111424 is an apocalyptic number.

4142111424 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 4142111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6000707328).

4142111424 is an abundant number, since it is smaller than the sum of its proper divisors (7859303232).

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

4142111424 is a wasteful number, since it uses less digits than its factorization.

4142111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7534 (or 7524 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 4142111424 is about 64359.2372857230. The cubic root of 4142111424 is about 1605.9817008327.

Adding to 4142111424 its reverse (4241112414), we get a palindrome (8383223838).

The spelling of 4142111424 in words is "four billion, one hundred forty-two million, one hundred eleven thousand, four hundred twenty-four".