21234034400 has 72 divisors (see below), whose sum is σ = 51917536440. Its totient is φ = 8480514560.

The previous prime is 21234034363. The next prime is 21234034441. The reversal of 21234034400 is 443043212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 507062 + ... + 547338.

It is an arithmetic number, because the mean of its divisors is an integer number (721076895).

Almost surely, 2^21234034400 is an apocalyptic number.

21234034400 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 21234034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25958768220).

21234034400 is an abundant number, since it is smaller than the sum of its proper divisors (30683502040).

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

21234034400 is a wasteful number, since it uses less digits than its factorization.

21234034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40956 (or 40943 counting only the distinct ones).

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

Adding to 21234034400 its reverse (443043212), we get a palindrome (21677077612).

The spelling of 21234034400 in words is "twenty-one billion, two hundred thirty-four million, thirty-four thousand, four hundred".