13318037591040 has 4224 divisors, whose sum is σ = 62970368163840. Its totient is φ = 2608555622400.

The previous prime is 13318037591011. The next prime is 13318037591041. The reversal of 13318037591040 is 4019573081331.

13318037591040 is a `hidden beast` number, since 1 + 3 + 3 + 18 + 0 + 3 + 7 + 591 + 0 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13318037591041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 187577994205 + ... + 187577994275.

Almost surely, 2^{13318037591040} is an apocalyptic number.

13318037591040 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 13318037591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31485184081920).

13318037591040 is an abundant number, since it is smaller than the sum of its proper divisors (49652330572800).

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

13318037591040 is a wasteful number, since it uses less digits than its factorization.

13318037591040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13318037591040 in words is "thirteen trillion, three hundred eighteen billion, thirty-seven million, five hundred ninety-one thousand, forty".