13040431322424 has 256 divisors, whose sum is σ = 37825456204800. Its totient is φ = 3707131084800.

The previous prime is 13040431322423. The next prime is 13040431322431. The reversal of 13040431322424 is 42422313404031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13040431322423) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1116373864 + ... + 1116385544.

It is an arithmetic number, because the mean of its divisors is an integer number (147755688300).

Almost surely, 2^{13040431322424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13040431322424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18912728102400).

13040431322424 is an abundant number, since it is smaller than the sum of its proper divisors (24785024882376).

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

13040431322424 is a wasteful number, since it uses less digits than its factorization.

13040431322424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15246 (or 15242 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 13040431322424 its reverse (42422313404031), we get a palindrome (55462744726455).

The spelling of 13040431322424 in words is "thirteen trillion, forty billion, four hundred thirty-one million, three hundred twenty-two thousand, four hundred twenty-four".