14414420430 has 96 divisors (see below), whose sum is σ = 38441239200. Its totient is φ = 3745244160.

The previous prime is 14414420399. The next prime is 14414420453. The reversal of 14414420430 is 3402441441.

14414420430 is a `hidden beast` number, since 14 + 414 + 4 + 204 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14414420394 and 14414420403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3514521 + ... + 3518619.

It is an arithmetic number, because the mean of its divisors is an integer number (400429575).

Almost surely, 2^14414420430 is an apocalyptic number.

14414420430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14414420430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19220619600).

14414420430 is an abundant number, since it is smaller than the sum of its proper divisors (24026818770).

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

14414420430 is a wasteful number, since it uses less digits than its factorization.

14414420430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5106 (or 5103 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14414420430 its reverse (3402441441), we get a palindrome (17816861871).

The spelling of 14414420430 in words is "fourteen billion, four hundred fourteen million, four hundred twenty thousand, four hundred thirty".