10144131113440 has 24 divisors (see below), whose sum is σ = 23965509755880. Its totient is φ = 4057652445312.

The previous prime is 10144131113423. The next prime is 10144131113447. The reversal of 10144131113440 is 4431113144101.

10144131113440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10144131113440² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10144131113399 and 10144131113408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144131113447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31700409570 + ... + 31700409889.

It is an arithmetic number, because the mean of its divisors is an integer number (998562906495).

Almost surely, 2^{10144131113440} is an apocalyptic number.

10144131113440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144131113440 is an abundant number, since it is smaller than the sum of its proper divisors (13821378642440).

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

10144131113440 is an equidigital number, since it uses as much as digits as its factorization.

10144131113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63400819474 (or 63400819466 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 10144131113440 its reverse (4431113144101), we get a palindrome (14575244257541).

The spelling of 10144131113440 in words is "ten trillion, one hundred forty-four billion, one hundred thirty-one million, one hundred thirteen thousand, four hundred forty".