10142132340 has 96 divisors (see below), whose sum is σ = 30119814144. Its totient is φ = 2541127680.

The previous prime is 10142132339. The next prime is 10142132353. The reversal of 10142132340 is 4323124101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610950 + ... + 627330.

It is an arithmetic number, because the mean of its divisors is an integer number (313748064).

Almost surely, 2^10142132340 is an apocalyptic number.

10142132340 is a gapful number since it is divisible by the number (10) 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 10142132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15059907072).

10142132340 is an abundant number, since it is smaller than the sum of its proper divisors (19977681804).

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

10142132340 is a wasteful number, since it uses less digits than its factorization.

10142132340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17017 (or 17015 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10142132340 its reverse (4323124101), we get a palindrome (14465256441).

The spelling of 10142132340 in words is "ten billion, one hundred forty-two million, one hundred thirty-two thousand, three hundred forty".