21441188128 has 48 divisors (see below), whose sum is σ = 43553371680. Its totient is φ = 10383782400.

The previous prime is 21441188123. The next prime is 21441188129. The reversal of 21441188128 is 82188114412.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21441188123) 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 7 ways as a sum of consecutive naturals, for example, 123583 + ... + 241153.

It is an arithmetic number, because the mean of its divisors is an integer number (907361910).

Almost surely, 2^21441188128 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 21441188128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21776685840).

21441188128 is an abundant number, since it is smaller than the sum of its proper divisors (22112183552).

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

21441188128 is a wasteful number, since it uses less digits than its factorization.

21441188128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117761 (or 117753 counting only the distinct ones).

The product of its digits is 32768, while the sum is 40.

The spelling of 21441188128 in words is "twenty-one billion, four hundred forty-one million, one hundred eighty-eight thousand, one hundred twenty-eight".