21441000 has 128 divisors (see below), whose sum is σ = 76527360. Its totient is φ = 4896000.

The previous prime is 21440999. The next prime is 21441001. The reversal of 21441000 is 14412.

It is an interprime number because it is at equal distance from previous prime (21440999) and next prime (21441001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21441001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20490 + ... + 21510.

It is an arithmetic number, because the mean of its divisors is an integer number (597870).

Almost surely, 2^21441000 is an apocalyptic number.

21441000 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 21441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38263680).

21441000 is an abundant number, since it is smaller than the sum of its proper divisors (55086360).

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

21441000 is a wasteful number, since it uses less digits than its factorization.

21441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 21441000 is about 4630.4427434102. The cubic root of 21441000 is about 277.8103013770.

Adding to 21441000 its reverse (14412), we get a palindrome (21455412).

It can be divided in two parts, 214 and 41000, that added together give a palindrome (41214).

The spelling of 21441000 in words is "twenty-one million, four hundred forty-one thousand".