21442002000 has 160 divisors (see below), whose sum is σ = 69214379520. Its totient is φ = 5710809600.

The previous prime is 21442001953. The next prime is 21442002007. The reversal of 21442002000 is 20024412.

It is a super-3 number, since 3×21442002000³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21442002007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6412329 + ... + 6415671.

It is an arithmetic number, because the mean of its divisors is an integer number (432589872).

Almost surely, 2^21442002000 is an apocalyptic number.

21442002000 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 21442002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34607189760).

21442002000 is an abundant number, since it is smaller than the sum of its proper divisors (47772377520).

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

21442002000 is a wasteful number, since it uses less digits than its factorization.

21442002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4438 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 21442002000 its reverse (20024412), we get a palindrome (21462026412).

The spelling of 21442002000 in words is "twenty-one billion, four hundred forty-two million, two thousand".