13534111440 has 240 divisors, whose sum is σ = 47357207040. Its totient is φ = 3460008960.

The previous prime is 13534111391. The next prime is 13534111463. The reversal of 13534111440 is 4411143531.

13534111440 is a `hidden beast` number, since 13 + 534 + 1 + 114 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2430099 + ... + 2435661.

It is an arithmetic number, because the mean of its divisors is an integer number (197321696).

Almost surely, 2^13534111440 is an apocalyptic number.

13534111440 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 13534111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23678603520).

13534111440 is an abundant number, since it is smaller than the sum of its proper divisors (33823095600).

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

13534111440 is a wasteful number, since it uses less digits than its factorization.

13534111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722 (or 5713 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13534111440 its reverse (4411143531), we get a palindrome (17945254971).

The spelling of 13534111440 in words is "thirteen billion, five hundred thirty-four million, one hundred eleven thousand, four hundred forty".