21004302400 has 336 divisors, whose sum is σ = 58336891200. Its totient is φ = 7396392960.

The previous prime is 21004302391. The next prime is 21004302401. The reversal of 21004302400 is 420340012.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (21004302401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50129391 + ... + 50129809.

It is an arithmetic number, because the mean of its divisors is an integer number (173621700).

Almost surely, 2^21004302400 is an apocalyptic number.

21004302400 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 21004302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29168445600).

21004302400 is an abundant number, since it is smaller than the sum of its proper divisors (37332588800).

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

21004302400 is a wasteful number, since it uses less digits than its factorization.

21004302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 21004302400 its reverse (420340012), we get a palindrome (21424642412).

The spelling of 21004302400 in words is "twenty-one billion, four million, three hundred two thousand, four hundred".