13430510440424 has 128 divisors (see below), whose sum is σ = 31716370022400. Its totient is φ = 5179461719040.

The previous prime is 13430510440379. The next prime is 13430510440447. The reversal of 13430510440424 is 42404401503431.

It is a happy number.

It is a super-2 number, since 2×13430510440424² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33676217 + ... + 34072695.

It is an arithmetic number, because the mean of its divisors is an integer number (247784140800).

Almost surely, 2^{13430510440424} is an apocalyptic number.

13430510440424 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 13430510440424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15858185011200).

13430510440424 is an abundant number, since it is smaller than the sum of its proper divisors (18285859581976).

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

13430510440424 is a wasteful number, since it uses less digits than its factorization.

13430510440424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397063 (or 397059 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 13430510440424 its reverse (42404401503431), we get a palindrome (55834911943855).

The spelling of 13430510440424 in words is "thirteen trillion, four hundred thirty billion, five hundred ten million, four hundred forty thousand, four hundred twenty-four".