21431340010000 has 200 divisors, whose sum is σ = 53171713980000. Its totient is φ = 8360499840000.

The previous prime is 21431340009967. The next prime is 21431340010039. The reversal of 21431340010000 is 1004313412.

It is a tau number, because it is divible by the number of its divisors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 21431340010000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1434582531 + ... + 1434597469.

It is an arithmetic number, because the mean of its divisors is an integer number (265858569900).

Almost surely, 2^{21431340010000} is an apocalyptic number.

21431340010000 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 21431340010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26585856990000).

21431340010000 is an abundant number, since it is smaller than the sum of its proper divisors (31740373970000).

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

21431340010000 is a wasteful number, since it uses less digits than its factorization.

21431340010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18507 (or 18486 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 21431340010000 its reverse (1004313412), we get a palindrome (21432344323412).

The spelling of 21431340010000 in words is "twenty-one trillion, four hundred thirty-one billion, three hundred forty million, ten thousand".