21442004430432 has 192 divisors, whose sum is σ = 59461314232320. Its totient is φ = 6754873305600.

The previous prime is 21442004430397. The next prime is 21442004430433. The reversal of 21442004430432 is 23403440024412.

It is a junction number, because it is equal to n+sod(n) for n = 21442004430393 and 21442004430402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21442004430433) 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 31 ways as a sum of consecutive naturals, for example, 1530362307 + ... + 1530376317.

It is an arithmetic number, because the mean of its divisors is an integer number (309694344960).

Almost surely, 2^{21442004430432} 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 21442004430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29730657116160).

21442004430432 is an abundant number, since it is smaller than the sum of its proper divisors (38019309801888).

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

21442004430432 is a wasteful number, since it uses less digits than its factorization.

21442004430432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26057 (or 26049 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 21442004430432 its reverse (23403440024412), we get a palindrome (44845444454844).

The spelling of 21442004430432 in words is "twenty-one trillion, four hundred forty-two billion, four million, four hundred thirty thousand, four hundred thirty-two".