13534900440 has 256 divisors, whose sum is σ = 42949180800. Its totient is φ = 3408297984.

The previous prime is 13534900427. The next prime is 13534900441. The reversal of 13534900440 is 4400943531.

13534900440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13534900441) 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 63 ways as a sum of consecutive naturals, for example, 26590906 + ... + 26591414.

Almost surely, 2^13534900440 is an apocalyptic number.

13534900440 is a gapful number since it is divisible by the number (10) 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 13534900440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21474590400).

13534900440 is an abundant number, since it is smaller than the sum of its proper divisors (29414280360).

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

13534900440 is a wasteful number, since it uses less digits than its factorization.

13534900440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 13534900440 in words is "thirteen billion, five hundred thirty-four million, nine hundred thousand, four hundred forty".