14431121431300 has 144 divisors (see below), whose sum is σ = 36292113906048. Its totient is φ = 4878764467200.

The previous prime is 14431121431291. The next prime is 14431121431343. The reversal of 14431121431300 is 313412113441.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13895712 + ... + 14898088.

It is an arithmetic number, because the mean of its divisors is an integer number (252028568792).

Almost surely, 2^{14431121431300} is an apocalyptic number.

14431121431300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14431121431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18146056953024).

14431121431300 is an abundant number, since it is smaller than the sum of its proper divisors (21860992474748).

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

14431121431300 is a wasteful number, since it uses less digits than its factorization.

14431121431300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002686 (or 1002679 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 14431121431300 its reverse (313412113441), we get a palindrome (14744533544741).

The spelling of 14431121431300 in words is "fourteen trillion, four hundred thirty-one billion, one hundred twenty-one million, four hundred thirty-one thousand, three hundred".