21441200 has 90 divisors (see below), whose sum is σ = 56748972. Its totient is φ = 7779200.

The previous prime is 21441197. The next prime is 21441223. The reversal of 21441200 is 214412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48179 + ... + 48621.

Almost surely, 2^21441200 is an apocalyptic number.

21441200 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 21441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28374486).

21441200 is an abundant number, since it is smaller than the sum of its proper divisors (35307772).

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

21441200 is a wasteful number, since it uses less digits than its factorization.

21441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 461 counting only the distinct ones).

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

The square root of 21441200 is about 4630.4643395668. The cubic root of 21441200 is about 277.8111651720.

Adding to 21441200 its reverse (214412), we get a palindrome (21655612).

Multiplying 21441200 by its reverse (214412), we get a square (4597250574400 = 2144120²).

21441200 divided by its reverse (214412) gives a square (100 = 10²).

It can be divided in two parts, 214 and 41200, that added together give a palindrome (41414).

The spelling of 21441200 in words is "twenty-one million, four hundred forty-one thousand, two hundred".