14431124041434 has 96 divisors (see below), whose sum is σ = 34069624056000. Its totient is φ = 4397260960512.

The previous prime is 14431124041423. The next prime is 14431124041493. The reversal of 14431124041434 is 43414042113441.

14431124041434 is a `hidden beast` number, since 144 + 3 + 1 + 1 + 2 + 40 + 41 + 434 = 666.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 15199774 + ... + 16121270.

It is an arithmetic number, because the mean of its divisors is an integer number (354891917250).

Almost surely, 2^{14431124041434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14431124041434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17034812028000).

14431124041434 is an abundant number, since it is smaller than the sum of its proper divisors (19638500014566).

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

14431124041434 is a wasteful number, since it uses less digits than its factorization.

14431124041434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923132 (or 923129 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 14431124041434 its reverse (43414042113441), we get a palindrome (57845166154875).

The spelling of 14431124041434 in words is "fourteen trillion, four hundred thirty-one billion, one hundred twenty-four million, forty-one thousand, four hundred thirty-four".