13011440355540 has 288 divisors, whose sum is σ = 43704951204096. Its totient is φ = 3106866309120.

The previous prime is 13011440355469. The next prime is 13011440355577. The reversal of 13011440355540 is 4555304411031.

13011440355540 is a `hidden beast` number, since 1 + 30 + 1 + 1 + 4 + 40 + 35 + 554 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13011440355495 and 13011440355504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107332642 + ... + 107453798.

It is an arithmetic number, because the mean of its divisors is an integer number (151753302792).

Almost surely, 2^{13011440355540} is an apocalyptic number.

13011440355540 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 13011440355540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21852475602048).

13011440355540 is an abundant number, since it is smaller than the sum of its proper divisors (30693510848556).

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

13011440355540 is a wasteful number, since it uses less digits than its factorization.

13011440355540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121999 (or 121994 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 13011440355540 its reverse (4555304411031), we get a palindrome (17566744766571).

The spelling of 13011440355540 in words is "thirteen trillion, eleven billion, four hundred forty million, three hundred fifty-five thousand, five hundred forty".