13132535365440 has 1120 divisors, whose sum is σ = 50087017854720. Its totient is φ = 3254701326336.

The previous prime is 13132535365429. The next prime is 13132535365463. The reversal of 13132535365440 is 4456353523131.

13132535365440 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 53 + 53 + 6 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13172051022 + ... + 13172052018.

It is an arithmetic number, because the mean of its divisors is an integer number (44720551656).

Almost surely, 2^{13132535365440} is an apocalyptic number.

13132535365440 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 13132535365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25043508927360).

13132535365440 is an abundant number, since it is smaller than the sum of its proper divisors (36954482489280).

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

13132535365440 is a wasteful number, since it uses less digits than its factorization.

13132535365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

Adding to 13132535365440 its reverse (4456353523131), we get a palindrome (17588888888571).

The spelling of 13132535365440 in words is "thirteen trillion, one hundred thirty-two billion, five hundred thirty-five million, three hundred sixty-five thousand, four hundred forty".