10242531134340 has 192 divisors, whose sum is σ = 30054646702080. Its totient is φ = 2603039662080.

The previous prime is 10242531134333. The next prime is 10242531134347. The reversal of 10242531134340 is 4343113524201.

It is an interprime number because it is at equal distance from previous prime (10242531134333) and next prime (10242531134347).

It is not an unprimeable number, because it can be changed into a prime (10242531134347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 534485599 + ... + 534504761.

It is an arithmetic number, because the mean of its divisors is an integer number (156534618240).

Almost surely, 2^{10242531134340} is an apocalyptic number.

10242531134340 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 10242531134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15027323351040).

10242531134340 is an abundant number, since it is smaller than the sum of its proper divisors (19812115567740).

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

10242531134340 is a wasteful number, since it uses less digits than its factorization.

10242531134340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23562 (or 23560 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 10242531134340 its reverse (4343113524201), we get a palindrome (14585644658541).

The spelling of 10242531134340 in words is "ten trillion, two hundred forty-two billion, five hundred thirty-one million, one hundred thirty-four thousand, three hundred forty".