14120414310432 has 192 divisors, whose sum is σ = 39398638204800. Its totient is φ = 4428090368000.

The previous prime is 14120414310421. The next prime is 14120414310433. The reversal of 14120414310432 is 23401341402141.

It is a happy number.

It is a super-2 number, since 2×14120414310432² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14120414310432.

It is not an unprimeable number, because it can be changed into a prime (14120414310433) 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, 1533323044 + ... + 1533332252.

It is an arithmetic number, because the mean of its divisors is an integer number (205201240650).

Almost surely, 2^{14120414310432} is an apocalyptic number.

14120414310432 is a gapful number since it is divisible by the number (12) 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 14120414310432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699319102400).

14120414310432 is an abundant number, since it is smaller than the sum of its proper divisors (25278223894368).

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

14120414310432 is an equidigital number, since it uses as much as digits as its factorization.

14120414310432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12524 (or 12482 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 14120414310432 its reverse (23401341402141), we get a palindrome (37521755712573).

The spelling of 14120414310432 in words is "fourteen trillion, one hundred twenty billion, four hundred fourteen million, three hundred ten thousand, four hundred thirty-two".