13533440040 has 128 divisors (see below), whose sum is σ = 45467136000. Its totient is φ = 3580464384.

The previous prime is 13533440029. The next prime is 13533440057. The reversal of 13533440040 is 4004433531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13533439986 and 13533440013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87826 + ... + 186494.

It is an arithmetic number, because the mean of its divisors is an integer number (355212000).

Almost surely, 2^13533440040 is an apocalyptic number.

13533440040 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 13533440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22733568000).

13533440040 is an abundant number, since it is smaller than the sum of its proper divisors (31933695960).

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

13533440040 is a wasteful number, since it uses less digits than its factorization.

13533440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98816 (or 98806 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 13533440040 its reverse (4004433531), we get a palindrome (17537873571).

The spelling of 13533440040 in words is "thirteen billion, five hundred thirty-three million, four hundred forty thousand, forty".