13040307036480 has 224 divisors, whose sum is σ = 41588729973504. Its totient is φ = 3461839273984.

The previous prime is 13040307036451. The next prime is 13040307036481. The reversal of 13040307036480 is 8463070304031.

13040307036480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13040307036481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268035517 + ... + 268084163.

It is an arithmetic number, because the mean of its divisors is an integer number (185663973096).

Almost surely, 2^{13040307036480} is an apocalyptic number.

13040307036480 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 13040307036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20794364986752).

13040307036480 is an abundant number, since it is smaller than the sum of its proper divisors (28548422937024).

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

13040307036480 is a wasteful number, since it uses less digits than its factorization.

13040307036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49913 (or 49903 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 13040307036480 in words is "thirteen trillion, forty billion, three hundred seven million, thirty-six thousand, four hundred eighty".