21322440000 has 350 divisors, whose sum is σ = 78994708914. Its totient is φ = 5685120000.

The previous prime is 21322439989. The next prime is 21322440001. The reversal of 21322440000 is 4422312.

It can be written as a sum of positive squares in 5 ways, for example, as 11263152384 + 10059287616 = 106128^2 + 100296^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21322440001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 3236710 + ... + 3243290.

Almost surely, 2^21322440000 is an apocalyptic number.

21322440000 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 21322440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39497354457).

21322440000 is an abundant number, since it is smaller than the sum of its proper divisors (57672268914).

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

21322440000 is an frugal number, since it uses more digits than its factorization.

21322440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6625 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21322440000 its reverse (4422312), we get a palindrome (21326862312).

The spelling of 21322440000 in words is "twenty-one billion, three hundred twenty-two million, four hundred forty thousand".