13142305440 has 576 divisors, whose sum is σ = 50721914880. Its totient is φ = 3071416320.

The previous prime is 13142305439. The next prime is 13142305459. The reversal of 13142305440 is 4450324131.

It is a happy number.

13142305440 is a `hidden beast` number, since 1 + 314 + 2 + 305 + 4 + 40 = 666.

13142305440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 94548891 + ... + 94549029.

It is an arithmetic number, because the mean of its divisors is an integer number (88058880).

Almost surely, 2^13142305440 is an apocalyptic number.

13142305440 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 13142305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25360957440).

13142305440 is an abundant number, since it is smaller than the sum of its proper divisors (37579609440).

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

13142305440 is a wasteful number, since it uses less digits than its factorization.

13142305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13142305440 its reverse (4450324131), we get a palindrome (17592629571).

The spelling of 13142305440 in words is "thirteen billion, one hundred forty-two million, three hundred five thousand, four hundred forty".