21334234000 has 80 divisors (see below), whose sum is σ = 51663162096. Its totient is φ = 8520960000.

The previous prime is 21334233967. The next prime is 21334234043. The reversal of 21334234000 is 43243312.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 892097424 + 20442136576 = 29868^2 + 142976^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 1394392 + ... + 1409608.

Almost surely, 2^21334234000 is an apocalyptic number.

21334234000 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 21334234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25831581048).

21334234000 is an abundant number, since it is smaller than the sum of its proper divisors (30328928096).

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

21334234000 is a wasteful number, since it uses less digits than its factorization.

21334234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15941 (or 15925 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 21334234000 its reverse (43243312), we get a palindrome (21377477312).

The spelling of 21334234000 in words is "twenty-one billion, three hundred thirty-four million, two hundred thirty-four thousand".