21200430403400 has 96 divisors (see below), whose sum is σ = 50194856668800. Its totient is φ = 8325201772800.

The previous prime is 21200430403357. The next prime is 21200430403403. The reversal of 21200430403400 is 430403400212.

It is not an unprimeable number, because it can be changed into a prime (21200430403403) 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, 4719281 + ... + 8041919.

It is an arithmetic number, because the mean of its divisors is an integer number (522863090300).

Almost surely, 2^{21200430403400} is an apocalyptic number.

21200430403400 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 21200430403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25097428334400).

21200430403400 is an abundant number, since it is smaller than the sum of its proper divisors (28994426265400).

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

21200430403400 is a wasteful number, since it uses less digits than its factorization.

21200430403400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323239 (or 3323230 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 21200430403400 its reverse (430403400212), we get a palindrome (21630833803612).

The spelling of 21200430403400 in words is "twenty-one trillion, two hundred billion, four hundred thirty million, four hundred three thousand, four hundred".