13042415353040 has 40 divisors (see below), whose sum is σ = 32107357798920. Its totient is φ = 4910085779456.

The previous prime is 13042415353027. The next prime is 13042415353049. The reversal of 13042415353040 is 4035351424031.

13042415353040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5548531003024 + 7493884350016 = 2355532^2 + 2737496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13042415353049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4795004285 + ... + 4795007004.

It is an arithmetic number, because the mean of its divisors is an integer number (802683944973).

Almost surely, 2^{13042415353040} is an apocalyptic number.

13042415353040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13042415353040 is an abundant number, since it is smaller than the sum of its proper divisors (19064942445880).

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

13042415353040 is a wasteful number, since it uses less digits than its factorization.

13042415353040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9590011319 (or 9590011313 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 13042415353040 its reverse (4035351424031), we get a palindrome (17077766777071).

The spelling of 13042415353040 in words is "thirteen trillion, forty-two billion, four hundred fifteen million, three hundred fifty-three thousand, forty".