2142134340432 has 40 divisors (see below), whose sum is σ = 5538342606720. Its totient is φ = 713464707840.

The previous prime is 2142134340419. The next prime is 2142134340439. The reversal of 2142134340432 is 2340434312412.

It is a junction number, because it is equal to n+sod(n) for n = 2142134340393 and 2142134340402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142134340439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18067557 + ... + 18185732.

It is an arithmetic number, because the mean of its divisors is an integer number (138458565168).

Almost surely, 2^{2142134340432} is an apocalyptic number.

It is an amenable number.

2142134340432 is an abundant number, since it is smaller than the sum of its proper divisors (3396208266288).

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

2142134340432 is a wasteful number, since it uses less digits than its factorization.

2142134340432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36254531 (or 36254525 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 2142134340432 its reverse (2340434312412), we get a palindrome (4482568652844).

The spelling of 2142134340432 in words is "two trillion, one hundred forty-two billion, one hundred thirty-four million, three hundred forty thousand, four hundred thirty-two".