13410234400 has 36 divisors (see below), whose sum is σ = 32737736682. Its totient is φ = 5364093440.

The previous prime is 13410234373. The next prime is 13410234401. The reversal of 13410234400 is 443201431.

13410234400 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 3 ways, for example, as 5560983184 + 7849251216 = 74572^2 + 88596^2 .

It is not an unprimeable number, because it can be changed into a prime (13410234401) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 8380597 + ... + 8382196.

Almost surely, 2^13410234400 is an apocalyptic number.

13410234400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13410234400 is an abundant number, since it is smaller than the sum of its proper divisors (19327502282).

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

13410234400 is a wasteful number, since it uses less digits than its factorization.

13410234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16762813 (or 16762800 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13410234400 its reverse (443201431), we get a palindrome (13853435831).

The spelling of 13410234400 in words is "thirteen billion, four hundred ten million, two hundred thirty-four thousand, four hundred".