21441200000 has 288 divisors, whose sum is σ = 58817563560. Its totient is φ = 7779200000.

The previous prime is 21441199991. The next prime is 21441200051. The reversal of 21441200000 is 214412.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48399779 + ... + 48400221.

Almost surely, 2^21441200000 is an apocalyptic number.

21441200000 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 21441200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29408781780).

21441200000 is an abundant number, since it is smaller than the sum of its proper divisors (37376363560).

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

21441200000 is an frugal number, since it uses more digits than its factorization.

21441200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21441200000 its reverse (214412), we get a palindrome (21441414412).

21441200000 divided by its reverse (214412) gives a 5-th power (100000 = 10⁵).

It can be divided in two parts, 214 and 41200000, that added together give a palindrome (41200214).

The spelling of 21441200000 in words is "twenty-one billion, four hundred forty-one million, two hundred thousand".