10142112311340 has 48 divisors (see below), whose sum is σ = 28410055914240. Its totient is φ = 2703406955200.

The previous prime is 10142112311293. The next prime is 10142112311347. The reversal of 10142112311340 is 4311321124101.

It is a self number, because there is not a number n which added to its sum of digits gives 10142112311340.

It is not an unprimeable number, because it can be changed into a prime (10142112311347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35993736 + ... + 36274415.

It is an arithmetic number, because the mean of its divisors is an integer number (591876164880).

Almost surely, 2^{10142112311340} is an apocalyptic number.

10142112311340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142112311340 is an abundant number, since it is smaller than the sum of its proper divisors (18267943602900).

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

10142112311340 is a wasteful number, since it uses less digits than its factorization.

10142112311340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72270502 (or 72270500 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 10142112311340 its reverse (4311321124101), we get a palindrome (14453433435441).

The spelling of 10142112311340 in words is "ten trillion, one hundred forty-two billion, one hundred twelve million, three hundred eleven thousand, three hundred forty".