10142134414340 has 24 divisors (see below), whose sum is σ = 22551334169112. Its totient is φ = 3818215308800.

The previous prime is 10142134414283. The next prime is 10142134414403. The reversal of 10142134414340 is 4341443124101.

It can be written as a sum of positive squares in 4 ways, for example, as 4509600510724 + 5632533903616 = 2123582^2 + 2373296^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10142134414297 and 10142134414306.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14914903211 + ... + 14914903890.

It is an arithmetic number, because the mean of its divisors is an integer number (939638923713).

Almost surely, 2^{10142134414340} is an apocalyptic number.

10142134414340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142134414340 is an abundant number, since it is smaller than the sum of its proper divisors (12409199754772).

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

10142134414340 is a wasteful number, since it uses less digits than its factorization.

10142134414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29829807127 (or 29829807125 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 10142134414340 its reverse (4341443124101), we get a palindrome (14483577538441).

The spelling of 10142134414340 in words is "ten trillion, one hundred forty-two billion, one hundred thirty-four million, four hundred fourteen thousand, three hundred forty".