21241424000 has 128 divisors (see below), whose sum is σ = 53196998400. Its totient is φ = 8434560000.

The previous prime is 21241423997. The next prime is 21241424011. The reversal of 21241424000 is 42414212.

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

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 15 ways as a sum of consecutive naturals, for example, 2219225 + ... + 2228775.

It is an arithmetic number, because the mean of its divisors is an integer number (415601550).

Almost surely, 2^21241424000 is an apocalyptic number.

21241424000 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 21241424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26598499200).

21241424000 is an abundant number, since it is smaller than the sum of its proper divisors (31955574400).

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

21241424000 is an equidigital number, since it uses as much as digits as its factorization.

21241424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9719 (or 9697 counting only the distinct ones).

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

Adding to 21241424000 its reverse (42414212), we get a palindrome (21283838212).

The spelling of 21241424000 in words is "twenty-one billion, two hundred forty-one million, four hundred twenty-four thousand".