14434114100140 has 48 divisors (see below), whose sum is σ = 34655518598400. Its totient is φ = 4946889868992.

The previous prime is 14434114100129. The next prime is 14434114100251. The reversal of 14434114100140 is 4100141143441.

It is a happy number.

14434114100140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14434114100099 and 14434114100108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19947970 + ... + 20658889.

It is an arithmetic number, because the mean of its divisors is an integer number (721989970800).

Almost surely, 2^{14434114100140} is an apocalyptic number.

14434114100140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14434114100140 is an abundant number, since it is smaller than the sum of its proper divisors (20221404498260).

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

14434114100140 is a wasteful number, since it uses less digits than its factorization.

14434114100140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40609414 (or 40609412 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 14434114100140 its reverse (4100141143441), we get a palindrome (18534255243581).

The spelling of 14434114100140 in words is "fourteen trillion, four hundred thirty-four billion, one hundred fourteen million, one hundred thousand, one hundred forty".