13201140040 has 128 divisors (see below), whose sum is σ = 33495275520. Its totient is φ = 4641068800.

The previous prime is 13201140031. The next prime is 13201140041. The reversal of 13201140040 is 4004110231.

It is a junction number, because it is equal to n+sod(n) for n = 13201139996 and 13201140023.

It is not an unprimeable number, because it can be changed into a prime (13201140041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1712595 + ... + 1720285.

It is an arithmetic number, because the mean of its divisors is an integer number (261681840).

Almost surely, 2^13201140040 is an apocalyptic number.

13201140040 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 13201140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16747637760).

13201140040 is an abundant number, since it is smaller than the sum of its proper divisors (20294135480).

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

13201140040 is a wasteful number, since it uses less digits than its factorization.

13201140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7843 (or 7839 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13201140040 its reverse (4004110231), we get a palindrome (17205250271).

The spelling of 13201140040 in words is "thirteen billion, two hundred one million, one hundred forty thousand, forty".