4142441424 has 80 divisors (see below), whose sum is σ = 11688966144. Its totient is φ = 1253692800.

The previous prime is 4142441419. The next prime is 4142441431. The reversal of 4142441424 is 4241442414.

It is a super-2 number, since 2×4142441424² = 34319641902542295552, which contains 22 as substring.

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 = 4142441391 and 4142441400.

It is a congruent number.

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, 451119 + ... + 460209.

Almost surely, 2^4142441424 is an apocalyptic number.

4142441424 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 4142441424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5844483072).

4142441424 is an abundant number, since it is smaller than the sum of its proper divisors (7546524720).

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

4142441424 is a wasteful number, since it uses less digits than its factorization.

4142441424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9976 (or 9970 counting only the distinct ones).

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

The square root of 4142441424 is about 64361.8009692084. The cubic root of 4142441424 is about 1606.0243489601.

Adding to 4142441424 its reverse (4241442414), we get a palindrome (8383883838).

The spelling of 4142441424 in words is "four billion, one hundred forty-two million, four hundred forty-one thousand, four hundred twenty-four".