21141403200 has 252 divisors, whose sum is σ = 76562067348. Its totient is φ = 5531136000.

The previous prime is 21141403181. The next prime is 21141403207. The reversal of 21141403200 is 230414112.

21141403200 is a `hidden beast` number, since 21 + 1 + 41 + 403 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 100160064 + 21041243136 = 10008^2 + 145056^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21141403207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 749350 + ... + 777050.

Almost surely, 2^21141403200 is an apocalyptic number.

21141403200 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 21141403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38281033674).

21141403200 is an abundant number, since it is smaller than the sum of its proper divisors (55420664148).

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

21141403200 is a wasteful number, since it uses less digits than its factorization.

21141403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27782 (or 27764 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21141403200 its reverse (230414112), we get a palindrome (21371817312).

The spelling of 21141403200 in words is "twenty-one billion, one hundred forty-one million, four hundred three thousand, two hundred".