21114400 has 36 divisors (see below), whose sum is σ = 51547482. Its totient is φ = 8445440.

The previous prime is 21114397. The next prime is 21114403. The reversal of 21114400 is 441112.

It is an interprime number because it is at equal distance from previous prime (21114397) and next prime (21114403).

It can be written as a sum of positive squares in 3 ways, for example, as 15023376 + 6091024 = 3876^2 + 2468^2 .

It is not an unprimeable number, because it can be changed into a prime (21114403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12397 + ... + 13996.

Almost surely, 2^21114400 is an apocalyptic number.

21114400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21114400 is an abundant number, since it is smaller than the sum of its proper divisors (30433082).

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

21114400 is a wasteful number, since it uses less digits than its factorization.

21114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26413 (or 26400 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 21114400 is about 4595.0408050419. The cubic root of 21114400 is about 276.3924962516.

Adding to 21114400 its reverse (441112), we get a palindrome (21555512).

The spelling of 21114400 in words is "twenty-one million, one hundred fourteen thousand, four hundred".