13140042048 has 448 divisors, whose sum is σ = 46770462720. Its totient is φ = 3536400384.

The previous prime is 13140041987. The next prime is 13140042049. The reversal of 13140042048 is 84024004131.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140042049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20308861 + ... + 20309507.

Almost surely, 2^13140042048 is an apocalyptic number.

13140042048 is a gapful number since it is divisible by the number (18) 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 13140042048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23385231360).

13140042048 is an abundant number, since it is smaller than the sum of its proper divisors (33630420672).

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

13140042048 is a wasteful number, since it uses less digits than its factorization.

13140042048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 13140042048 its reverse (84024004131), we get a palindrome (97164046179).

The spelling of 13140042048 in words is "thirteen billion, one hundred forty million, forty-two thousand, forty-eight".