13144442400 has 288 divisors, whose sum is σ = 48826874880. Its totient is φ = 3410242560.

The previous prime is 13144442393. The next prime is 13144442411. The reversal of 13144442400 is 424444131.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 790977 + ... + 807423.

It is an arithmetic number, because the mean of its divisors is an integer number (169537760).

Almost surely, 2^13144442400 is an apocalyptic number.

13144442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13144442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24413437440).

13144442400 is an abundant number, since it is smaller than the sum of its proper divisors (35682432480).

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

13144442400 is a wasteful number, since it uses less digits than its factorization.

13144442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16513 (or 16494 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 13144442400 its reverse (424444131), we get a palindrome (13568886531).

The spelling of 13144442400 in words is "thirteen billion, one hundred forty-four million, four hundred forty-two thousand, four hundred".