14434130314420 has 96 divisors (see below), whose sum is σ = 32013819734400. Its totient is φ = 5451494989824.

The previous prime is 14434130314393. The next prime is 14434130314421. The reversal of 14434130314420 is 2441303143441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14434130314421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156341712 + ... + 156434008.

It is an arithmetic number, because the mean of its divisors is an integer number (333477288900).

Almost surely, 2^{14434130314420} is an apocalyptic number.

14434130314420 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 14434130314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16006909867200).

14434130314420 is an abundant number, since it is smaller than the sum of its proper divisors (17579689419980).

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

14434130314420 is a wasteful number, since it uses less digits than its factorization.

14434130314420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93697 (or 93695 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 14434130314420 its reverse (2441303143441), we get a palindrome (16875433457861).

The spelling of 14434130314420 in words is "fourteen trillion, four hundred thirty-four billion, one hundred thirty million, three hundred fourteen thousand, four hundred twenty".