4013540330040 has 144 divisors (see below), whose sum is σ = 13635795274920. Its totient is φ = 1023743571840.

The previous prime is 4013540330021. The next prime is 4013540330047. The reversal of 4013540330040 is 400330453104.

4013540330040 is a `hidden beast` number, since 4 + 0 + 1 + 354 + 0 + 3 + 300 + 4 + 0 = 666.

4013540330040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4013540330040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4013540329986 and 4013540330013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013540330047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10347106 + ... + 10727985.

Almost surely, 2^{4013540330040} is an apocalyptic number.

4013540330040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013540330040 is an abundant number, since it is smaller than the sum of its proper divisors (9622254944880).

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

4013540330040 is a wasteful number, since it uses less digits than its factorization.

4013540330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21075154 (or 21075124 counting only the distinct ones).

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

Adding to 4013540330040 its reverse (400330453104), we get a palindrome (4413870783144).

The spelling of 4013540330040 in words is "four trillion, thirteen billion, five hundred forty million, three hundred thirty thousand, forty".