10141411312140 has 24 divisors (see below), whose sum is σ = 28395951674160. Its totient is φ = 2704376349888.

The previous prime is 10141411312139. The next prime is 10141411312141. The reversal of 10141411312140 is 4121311414101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10141411312139) and next prime (10141411312141).

It is a super-2 number, since 2×10141411312140² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10141411312140.

It is not an unprimeable number, because it can be changed into a prime (10141411312141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84511760875 + ... + 84511760994.

It is an arithmetic number, because the mean of its divisors is an integer number (1183164653090).

Almost surely, 2^{10141411312140} is an apocalyptic number.

10141411312140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141411312140 is an abundant number, since it is smaller than the sum of its proper divisors (18254540362020).

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

10141411312140 is a wasteful number, since it uses less digits than its factorization.

10141411312140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169023521881 (or 169023521879 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 10141411312140 its reverse (4121311414101), we get a palindrome (14262722726241).

The spelling of 10141411312140 in words is "ten trillion, one hundred forty-one billion, four hundred eleven million, three hundred twelve thousand, one hundred forty".