21400033200 has 240 divisors, whose sum is σ = 84371433216. Its totient is φ = 4515148800.

The previous prime is 21400033163. The next prime is 21400033219. The reversal of 21400033200 is 233000412.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×21400033200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21400033200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11215 + ... + 207185.

Almost surely, 2^21400033200 is an apocalyptic number.

21400033200 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 21400033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42185716608).

21400033200 is an abundant number, since it is smaller than the sum of its proper divisors (62971400016).

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

21400033200 is a wasteful number, since it uses less digits than its factorization.

21400033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196012 (or 196001 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 21400033200 its reverse (233000412), we get a palindrome (21633033612).

The spelling of 21400033200 in words is "twenty-one billion, four hundred million, thirty-three thousand, two hundred".