13440042312 has 128 divisors (see below), whose sum is σ = 37200384000. Its totient is φ = 4029592320.

The previous prime is 13440042283. The next prime is 13440042323. The reversal of 13440042312 is 21324004431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 740239 + ... + 758177.

It is an arithmetic number, because the mean of its divisors is an integer number (290628000).

Almost surely, 2^13440042312 is an apocalyptic number.

13440042312 is a gapful number since it is divisible by the number (12) 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 13440042312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18600192000).

13440042312 is an abundant number, since it is smaller than the sum of its proper divisors (23760341688).

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

13440042312 is a wasteful number, since it uses less digits than its factorization.

13440042312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18051 (or 18047 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13440042312 its reverse (21324004431), we get a palindrome (34764046743).

The spelling of 13440042312 in words is "thirteen billion, four hundred forty million, forty-two thousand, three hundred twelve".