21442033000 has 64 divisors (see below), whose sum is σ = 50346288720. Its totient is φ = 8547424000.

The previous prime is 21442032977. The next prime is 21442033009. The reversal of 21442033000 is 33024412.

It can be written as a sum of positive squares in 8 ways, for example, as 2250363844 + 19191669156 = 47438^2 + 138534^2 .

It is not an unprimeable number, because it can be changed into a prime (21442033009) by changing a digit.

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, 256410 + ... + 329590.

Almost surely, 2^21442033000 is an apocalyptic number.

21442033000 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 21442033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25173144360).

21442033000 is an abundant number, since it is smaller than the sum of its proper divisors (28904255720).

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

21442033000 is a wasteful number, since it uses less digits than its factorization.

21442033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73495 (or 73481 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 21442033000 its reverse (33024412), we get a palindrome (21475057412).

The spelling of 21442033000 in words is "twenty-one billion, four hundred forty-two million, thirty-three thousand".