13533540040 has 32 divisors (see below), whose sum is σ = 30879351360. Its totient is φ = 5337169600.

The previous prime is 13533540029. The next prime is 13533540049. The reversal of 13533540040 is 4004533531.

13533540040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13533539990 and 13533540008.

It is not an unprimeable number, because it can be changed into a prime (13533540049) 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 7 ways as a sum of consecutive naturals, for example, 2379826 + ... + 2385505.

It is an arithmetic number, because the mean of its divisors is an integer number (964979730).

Almost surely, 2^13533540040 is an apocalyptic number.

13533540040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13533540040 is an abundant number, since it is smaller than the sum of its proper divisors (17345811320).

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

13533540040 is a wasteful number, since it uses less digits than its factorization.

13533540040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765413 (or 4765409 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The spelling of 13533540040 in words is "thirteen billion, five hundred thirty-three million, five hundred forty thousand, forty".