13044242144400 has 120 divisors (see below), whose sum is σ = 43601797312320. Its totient is φ = 3327226974720.

The previous prime is 13044242144393. The next prime is 13044242144407. The reversal of 13044242144400 is 444124244031.

It is an interprime number because it is at equal distance from previous prime (13044242144393) and next prime (13044242144407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×13044242144400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13044242144407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236281135 + ... + 236336334.

It is an arithmetic number, because the mean of its divisors is an integer number (363348310936).

Almost surely, 2^{13044242144400} is an apocalyptic number.

13044242144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13044242144400 is an abundant number, since it is smaller than the sum of its proper divisors (30557555167920).

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

13044242144400 is a wasteful number, since it uses less digits than its factorization.

13044242144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472617513 (or 472617502 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 13044242144400 its reverse (444124244031), we get a palindrome (13488366388431).

The spelling of 13044242144400 in words is "thirteen trillion, forty-four billion, two hundred forty-two million, one hundred forty-four thousand, four hundred".