21432424032 has 72 divisors (see below), whose sum is σ = 61322507064. Its totient is φ = 7100296704.

The previous prime is 21432424031. The next prime is 21432424037. The reversal of 21432424032 is 23042423412.

21432424032 is a `hidden beast` number, since 2 + 14 + 3 + 242 + 403 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×21432424032³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 21432423987 and 21432424005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21432424031) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 181333 + ... + 275220.

It is an arithmetic number, because the mean of its divisors is an integer number (851701487).

Almost surely, 2^21432424032 is an apocalyptic number.

It is an amenable number.

21432424032 is an abundant number, since it is smaller than the sum of its proper divisors (39890083032).

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

21432424032 is a wasteful number, since it uses less digits than its factorization.

21432424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456732 (or 456721 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 21432424032 its reverse (23042423412), we get a palindrome (44474847444).

The spelling of 21432424032 in words is "twenty-one billion, four hundred thirty-two million, four hundred twenty-four thousand, thirty-two".