13441414400 has 54 divisors (see below), whose sum is σ = 33269616702. Its totient is φ = 5376563200.

The previous prime is 13441414379. The next prime is 13441414417. The reversal of 13441414400 is 441414431.

It can be written as a sum of positive squares in 3 ways, for example, as 1033236736 + 12408177664 = 32144^2 + 111392^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13441414400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1043711 + ... + 1056510.

It is an arithmetic number, because the mean of its divisors is an integer number (616104013).

Almost surely, 2^13441414400 is an apocalyptic number.

13441414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13441414400 is an abundant number, since it is smaller than the sum of its proper divisors (19828202302).

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

13441414400 is an equidigital number, since it uses as much as digits as its factorization.

13441414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100247 (or 2100228 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 13441414400 its reverse (441414431), we get a palindrome (13882828831).

The spelling of 13441414400 in words is "thirteen billion, four hundred forty-one million, four hundred fourteen thousand, four hundred".