21132440142 has 128 divisors (see below), whose sum is σ = 48074342400. Its totient is φ = 6137577600.

The previous prime is 21132440107. The next prime is 21132440177. The reversal of 21132440142 is 24104423112.

21132440142 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (21132440107) and next prime (21132440177).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50435209 + ... + 50435627.

It is an arithmetic number, because the mean of its divisors is an integer number (375580800).

Almost surely, 2^21132440142 is an apocalyptic number.

21132440142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21132440142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24037171200).

21132440142 is an abundant number, since it is smaller than the sum of its proper divisors (26941902258).

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

21132440142 is a wasteful number, since it uses less digits than its factorization.

21132440142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21132440142 its reverse (24104423112), we get a palindrome (45236863254).

The spelling of 21132440142 in words is "twenty-one billion, one hundred thirty-two million, four hundred forty thousand, one hundred forty-two".