10034042430 has 96 divisors (see below), whose sum is σ = 25651692000. Its totient is φ = 2511452160.

The previous prime is 10034042429. The next prime is 10034042453. The reversal of 10034042430 is 3424043001.

10034042430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10034042397 and 10034042406.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3648696 + ... + 3651444.

It is an arithmetic number, because the mean of its divisors is an integer number (267205125).

Almost surely, 2^10034042430 is an apocalyptic number.

10034042430 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 10034042430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12825846000).

10034042430 is an abundant number, since it is smaller than the sum of its proper divisors (15617649570).

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

10034042430 is a wasteful number, since it uses less digits than its factorization.

10034042430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10034042430 its reverse (3424043001), we get a palindrome (13458085431).

The spelling of 10034042430 in words is "ten billion, thirty-four million, forty-two thousand, four hundred thirty".