21143400000 has 336 divisors, whose sum is σ = 70718598720. Its totient is φ = 5574400000.

The previous prime is 21143399989. The next prime is 21143400007. The reversal of 21143400000 is 434112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (21143400007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 78599866 + ... + 78600134.

It is an arithmetic number, because the mean of its divisors is an integer number (210472020).

Almost surely, 2^21143400000 is an apocalyptic number.

21143400000 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 21143400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35359299360).

21143400000 is an abundant number, since it is smaller than the sum of its proper divisors (49575198720).

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

21143400000 is an equidigital number, since it uses as much as digits as its factorization.

21143400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 21143400000 its reverse (434112), we get a palindrome (21143834112).

The spelling of 21143400000 in words is "twenty-one billion, one hundred forty-three million, four hundred thousand".