4144242432 has 72 divisors (see below), whose sum is σ = 12032455680. Its totient is φ = 1255828480.

The previous prime is 4144242413. The next prime is 4144242463. The reversal of 4144242432 is 2342424414.

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 4144242432.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 236832 + ... + 253727.

It is an arithmetic number, because the mean of its divisors is an integer number (167117440).

Almost surely, 2^4144242432 is an apocalyptic number.

It is an amenable number.

4144242432 is an abundant number, since it is smaller than the sum of its proper divisors (7888213248).

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

4144242432 is a wasteful number, since it uses less digits than its factorization.

4144242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490589 (or 490575 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 4144242432 is about 64375.7907291243. The cubic root of 4144242432 is about 1606.2570654769.

Adding to 4144242432 its reverse (2342424414), we get a palindrome (6486666846).

The spelling of 4144242432 in words is "four billion, one hundred forty-four million, two hundred forty-two thousand, four hundred thirty-two".