20444310432 has 288 divisors, whose sum is σ = 75765860352. Its totient is φ = 5074624512.

The previous prime is 20444310427. The next prime is 20444310437. The reversal of 20444310432 is 23401344402.

It is a happy number.

20444310432 is a `hidden beast` number, since 204 + 443 + 10 + 4 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20444310427) and next prime (20444310437).

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 20444310396 and 20444310405.

It is not an unprimeable number, because it can be changed into a prime (20444310437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422593 + ... + 468479.

It is an arithmetic number, because the mean of its divisors is an integer number (263075904).

Almost surely, 2^20444310432 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 20444310432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37882930176).

20444310432 is an abundant number, since it is smaller than the sum of its proper divisors (55321549920).

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

20444310432 is a wasteful number, since it uses less digits than its factorization.

20444310432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45940 (or 45929 counting only the distinct ones).

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

Adding to 20444310432 its reverse (23401344402), we get a palindrome (43845654834).

The spelling of 20444310432 in words is "twenty billion, four hundred forty-four million, three hundred ten thousand, four hundred thirty-two".