21411457200 has 720 divisors, whose sum is σ = 90237438720. Its totient is φ = 4592609280.

The previous prime is 21411457187. The next prime is 21411457201. The reversal of 21411457200 is 275411412.

21411457200 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 1 + 457 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (21411457201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 94323487 + ... + 94323713.

It is an arithmetic number, because the mean of its divisors is an integer number (125329776).

Almost surely, 2^21411457200 is an apocalyptic number.

21411457200 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 21411457200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45118719360).

21411457200 is an abundant number, since it is smaller than the sum of its proper divisors (68825981520).

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

21411457200 is a wasteful number, since it uses less digits than its factorization.

21411457200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 21411457200 its reverse (275411412), we get a palindrome (21686868612).

The spelling of 21411457200 in words is "twenty-one billion, four hundred eleven million, four hundred fifty-seven thousand, two hundred".