20440192128 has 128 divisors (see below), whose sum is σ = 54935323200. Its totient is φ = 6733332480.

The previous prime is 20440192117. The next prime is 20440192141. The reversal of 20440192128 is 82129104402.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26859268 + ... + 26860028.

Almost surely, 2^20440192128 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 20440192128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27467661600).

20440192128 is an abundant number, since it is smaller than the sum of its proper divisors (34495131072).

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

20440192128 is a wasteful number, since it uses less digits than its factorization.

20440192128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 20440192128 in words is "twenty billion, four hundred forty million, one hundred ninety-two thousand, one hundred twenty-eight".