13505433440 has 24 divisors (see below), whose sum is σ = 31906586880. Its totient is φ = 5402173312.

The previous prime is 13505433413. The next prime is 13505433443. The reversal of 13505433440 is 4433450531.

13505433440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13505433397 and 13505433406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13505433443) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 42204320 + ... + 42204639.

It is an arithmetic number, because the mean of its divisors is an integer number (1329441120).

Almost surely, 2^13505433440 is an apocalyptic number.

13505433440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13505433440 is an abundant number, since it is smaller than the sum of its proper divisors (18401153440).

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

13505433440 is an equidigital number, since it uses as much as digits as its factorization.

13505433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84408974 (or 84408966 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 13505433440 its reverse (4433450531), we get a palindrome (17938883971).

The spelling of 13505433440 in words is "thirteen billion, five hundred five million, four hundred thirty-three thousand, four hundred forty".