21014400 has 192 divisors, whose sum is σ = 75888000. Its totient is φ = 5068800.

The previous prime is 21014381. The next prime is 21014407. The reversal of 21014400 is 441012.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21014407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105501 + ... + 105699.

It is an arithmetic number, because the mean of its divisors is an integer number (395250).

Almost surely, 2^21014400 is an apocalyptic number.

21014400 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 21014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37944000).

21014400 is an abundant number, since it is smaller than the sum of its proper divisors (54873600).

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

21014400 is a wasteful number, since it uses less digits than its factorization.

21014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

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

The square root of 21014400 is about 4584.1465945146. The cubic root of 21014400 is about 275.9554643537.

Adding to 21014400 its reverse (441012), we get a palindrome (21455412).

The spelling of 21014400 in words is "twenty-one million, fourteen thousand, four hundred".