21332142000 has 240 divisors, whose sum is σ = 80238176928. Its totient is φ = 5250931200.

The previous prime is 21332141953. The next prime is 21332142019. The reversal of 21332142000 is 24123312.

21332142000 is a `hidden beast` number, since 213 + 32 + 1 + 420 + 0 + 0 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188419 + ... + 279581.

Almost surely, 2^21332142000 is an apocalyptic number.

21332142000 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 21332142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40119088464).

21332142000 is an abundant number, since it is smaller than the sum of its proper divisors (58906034928).

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

21332142000 is a wasteful number, since it uses less digits than its factorization.

21332142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91205 (or 91186 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21332142000 its reverse (24123312), we get a palindrome (21356265312).

The spelling of 21332142000 in words is "twenty-one billion, three hundred thirty-two million, one hundred forty-two thousand".