14430413034 has 128 divisors (see below), whose sum is σ = 33251420160. Its totient is φ = 4637001600.

The previous prime is 14430413027. The next prime is 14430413047. The reversal of 14430413034 is 43031403441.

14430413034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14430412989 and 14430413007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43596249 + ... + 43596579.

It is an arithmetic number, because the mean of its divisors is an integer number (259776720).

Almost surely, 2^14430413034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14430413034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16625710080).

14430413034 is an abundant number, since it is smaller than the sum of its proper divisors (18821007126).

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

14430413034 is a wasteful number, since it uses less digits than its factorization.

14430413034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14430413034 its reverse (43031403441), we get a palindrome (57461816475).

The spelling of 14430413034 in words is "fourteen billion, four hundred thirty million, four hundred thirteen thousand, thirty-four".