10005115311340 has 24 divisors (see below), whose sum is σ = 21011142699792. Its totient is φ = 4001969830080.

The previous prime is 10005115311287. The next prime is 10005115311343. The reversal of 10005115311340 is 4311351150001.

10005115311340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10005115311343) 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, 3687091 + ... + 5796970.

It is an arithmetic number, because the mean of its divisors is an integer number (875464279158).

Almost surely, 2^{10005115311340} is an apocalyptic number.

10005115311340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005115311340 is an abundant number, since it is smaller than the sum of its proper divisors (11006027388452).

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

10005115311340 is a wasteful number, since it uses less digits than its factorization.

10005115311340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9536817 (or 9536815 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 10005115311340 its reverse (4311351150001), we get a palindrome (14316466461341).

The spelling of 10005115311340 in words is "ten trillion, five billion, one hundred fifteen million, three hundred eleven thousand, three hundred forty".