13461406536400 has 60 divisors (see below), whose sum is σ = 32356512796300. Its totient is φ = 5381984701440.

The previous prime is 13461406536379. The next prime is 13461406536407. The reversal of 13461406536400 is 463560416431.

13461406536400 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 6 ways, for example, as 732694912576 + 12728711623824 = 855976^2 + 3567732^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13461406536407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7219335 + ... + 8890534.

Almost surely, 2^{13461406536400} is an apocalyptic number.

13461406536400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13461406536400 is an abundant number, since it is smaller than the sum of its proper divisors (18895106259900).

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

13461406536400 is a wasteful number, since it uses less digits than its factorization.

13461406536400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16111976 (or 16111965 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 13461406536400 in words is "thirteen trillion, four hundred sixty-one billion, four hundred six million, five hundred thirty-six thousand, four hundred".