13344442400 has 72 divisors (see below), whose sum is σ = 34493456340. Its totient is φ = 5023784960.

The previous prime is 13344442361. The next prime is 13344442421. The reversal of 13344442400 is 424444331.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3745929616 + 9598512784 = 61204^2 + 97972^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 477005 + ... + 504204.

Almost surely, 2^13344442400 is an apocalyptic number.

13344442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13344442400 is an abundant number, since it is smaller than the sum of its proper divisors (21149013940).

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

13344442400 is a wasteful number, since it uses less digits than its factorization.

13344442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981246 (or 981233 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 13344442400 its reverse (424444331), we get a palindrome (13768886731).

The spelling of 13344442400 in words is "thirteen billion, three hundred forty-four million, four hundred forty-two thousand, four hundred".