14434412131100 has 72 divisors (see below), whose sum is σ = 34368565896000. Its totient is φ = 5229070030080.

The previous prime is 14434412131057. The next prime is 14434412131133. The reversal of 14434412131100 is 113121443441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104680100 + ... + 104817899.

It is an arithmetic number, because the mean of its divisors is an integer number (477341193000).

Almost surely, 2^{14434412131100} is an apocalyptic number.

14434412131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14434412131100 is an abundant number, since it is smaller than the sum of its proper divisors (19934153764900).

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

14434412131100 is a wasteful number, since it uses less digits than its factorization.

14434412131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209498079 (or 209498072 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 14434412131100 its reverse (113121443441), we get a palindrome (14547533574541).

The spelling of 14434412131100 in words is "fourteen trillion, four hundred thirty-four billion, four hundred twelve million, one hundred thirty-one thousand, one hundred".