13788614111040 has 560 divisors, whose sum is σ = 52728627283200. Its totient is φ = 3409317900288.

The previous prime is 13788614111029. The next prime is 13788614111047. The reversal of 13788614111040 is 4011141688731.

13788614111040 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 8 + 614 + 11 + 10 + 4 + 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 not an unprimeable number, because it can be changed into a prime (13788614111047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22848706 + ... + 23444414.

Almost surely, 2^{13788614111040} is an apocalyptic number.

13788614111040 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 13788614111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26364313641600).

13788614111040 is an abundant number, since it is smaller than the sum of its proper divisors (38940013172160).

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

13788614111040 is a wasteful number, since it uses less digits than its factorization.

13788614111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595804 (or 595785 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

Adding to 13788614111040 its reverse (4011141688731), we get a palindrome (17799755799771).

The spelling of 13788614111040 in words is "thirteen trillion, seven hundred eighty-eight billion, six hundred fourteen million, one hundred eleven thousand, forty".