10034434424 has 48 divisors (see below), whose sum is σ = 21919238280. Its totient is φ = 4294006080.

The previous prime is 10034434351. The next prime is 10034434441. The reversal of 10034434424 is 42443443001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246479 + ... + 284289.

Almost surely, 2^10034434424 is an apocalyptic number.

10034434424 is a gapful number since it is divisible by the number (14) 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 10034434424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10959619140).

10034434424 is an abundant number, since it is smaller than the sum of its proper divisors (11884803856).

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

10034434424 is a wasteful number, since it uses less digits than its factorization.

10034434424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38508 (or 38497 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 10034434424 its reverse (42443443001), we get a palindrome (52477877425).

The spelling of 10034434424 in words is "ten billion, thirty-four million, four hundred thirty-four thousand, four hundred twenty-four".