21441440000 has 180 divisors, whose sum is σ = 55337958060. Its totient is φ = 8279040000.

The previous prime is 21441439969. The next prime is 21441440039. The reversal of 21441440000 is 4414412.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 17394444544 + 4046995456 = 131888^2 + 63616^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4637690 + ... + 4642310.

Almost surely, 2^21441440000 is an apocalyptic number.

21441440000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21441440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27668979030).

21441440000 is an abundant number, since it is smaller than the sum of its proper divisors (33896518060).

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

21441440000 is an frugal number, since it uses more digits than its factorization.

21441440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 21441440000 its reverse (4414412), we get a palindrome (21445854412).

The spelling of 21441440000 in words is "twenty-one billion, four hundred forty-one million, four hundred forty thousand".