10307413424 has 160 divisors (see below), whose sum is σ = 25648358400. Its totient is φ = 3977702400.

The previous prime is 10307413411. The next prime is 10307413433. The reversal of 10307413424 is 42431470301.

10307413424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with 15340944975 it forms a betrothed pair.

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 31 ways as a sum of consecutive naturals, for example, 6820829 + ... + 6822339.

It is an arithmetic number, because the mean of its divisors is an integer number (160302240).

Almost surely, 2^10307413424 is an apocalyptic number.

10307413424 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 10307413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12824179200).

10307413424 is an abundant number, since it is smaller than the sum of its proper divisors (15340944976).

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

10307413424 is a wasteful number, since it uses less digits than its factorization.

10307413424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

Adding to 10307413424 its reverse (42431470301), we get a palindrome (52738883725).

The spelling of 10307413424 in words is "ten billion, three hundred seven million, four hundred thirteen thousand, four hundred twenty-four".