4142344024 has 64 divisors (see below), whose sum is σ = 9570335040. Its totient is φ = 1636830720.

The previous prime is 4142343977. The next prime is 4142344061. The reversal of 4142344024 is 4204432414.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4142343983 and 4142344001.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 740502 + ... + 746074.

It is an arithmetic number, because the mean of its divisors is an integer number (149536485).

Almost surely, 2^4142344024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142344024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785167520).

4142344024 is an abundant number, since it is smaller than the sum of its proper divisors (5427991016).

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

4142344024 is a wasteful number, since it uses less digits than its factorization.

4142344024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6620 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 4142344024 is about 64361.0443047656. The cubic root of 4142344024 is about 1606.0117615363.

Adding to 4142344024 its reverse (4204432414), we get a palindrome (8346776438).

The spelling of 4142344024 in words is "four billion, one hundred forty-two million, three hundred forty-four thousand, twenty-four".