21333042000 has 240 divisors, whose sum is σ = 75734564880. Its totient is φ = 5595264000.

The previous prime is 21333041971. The next prime is 21333042001. The reversal of 21333042000 is 24033312.

21333042000 is a `hidden beast` number, since 213 + 3 + 30 + 420 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19396689984 + 1936352016 = 139272^2 + 44004^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21333042001) 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, 1088286 + ... + 1107714.

It is an arithmetic number, because the mean of its divisors is an integer number (315560687).

Almost surely, 2^21333042000 is an apocalyptic number.

21333042000 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 21333042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37867282440).

21333042000 is an abundant number, since it is smaller than the sum of its proper divisors (54401522880).

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

21333042000 is a wasteful number, since it uses less digits than its factorization.

21333042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19519 (or 19500 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 21333042000 its reverse (24033312), we get a palindrome (21357075312).

The spelling of 21333042000 in words is "twenty-one billion, three hundred thirty-three million, forty-two thousand".