13038535601406 has 240 divisors, whose sum is σ = 35443991544192. Its totient is φ = 3567952281600.

The previous prime is 13038535601393. The next prime is 13038535601447. The reversal of 13038535601406 is 60410653583031.

13038535601406 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 8 + 5 + 35 + 601 + 4 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23596446 + ... + 24142686.

Almost surely, 2^{13038535601406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13038535601406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17721995772096).

13038535601406 is an abundant number, since it is smaller than the sum of its proper divisors (22405455942786).

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

13038535601406 is a wasteful number, since it uses less digits than its factorization.

13038535601406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546397 (or 546381 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 13038535601406 in words is "thirteen trillion, thirty-eight billion, five hundred thirty-five million, six hundred one thousand, four hundred six".