21444342000 has 160 divisors (see below), whose sum is σ = 69217784064. Its totient is φ = 5711776000.

The previous prime is 21444341987. The next prime is 21444342097. The reversal of 21444342000 is 24344412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7120495 + ... + 7123505.

Almost surely, 2^21444342000 is an apocalyptic number.

21444342000 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 21444342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34608892032).

21444342000 is an abundant number, since it is smaller than the sum of its proper divisors (47773442064).

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

21444342000 is a wasteful number, since it uses less digits than its factorization.

21444342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 21444342000 its reverse (24344412), we get a palindrome (21468686412).

The spelling of 21444342000 in words is "twenty-one billion, four hundred forty-four million, three hundred forty-two thousand".