4142444124 has 144 divisors (see below), whose sum is σ = 12246746400. Its totient is φ = 1080059904.

The previous prime is 4142444101. The next prime is 4142444149. The reversal of 4142444124 is 4214442414.

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 = 4142444091 and 4142444100.

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 47 ways as a sum of consecutive naturals, for example, 677272 + ... + 683360.

It is an arithmetic number, because the mean of its divisors is an integer number (85046850).

Almost surely, 2^4142444124 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 4142444124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6123373200).

4142444124 is an abundant number, since it is smaller than the sum of its proper divisors (8104302276).

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

4142444124 is a wasteful number, since it uses less digits than its factorization.

4142444124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6212 (or 6203 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

The square root of 4142444124 is about 64361.8219443794. The cubic root of 4142444124 is about 1606.0246978900.

Adding to 4142444124 its reverse (4214442414), we get a palindrome (8356886538).

The spelling of 4142444124 in words is "four billion, one hundred forty-two million, four hundred forty-four thousand, one hundred twenty-four".