13144242024000 has 336 divisors, whose sum is σ = 47027731086336. Its totient is φ = 3504491136000.

The previous prime is 13144242023987. The next prime is 13144242024041. The reversal of 13144242024000 is 42024244131.

13144242024000 is a `hidden beast` number, since 1 + 3 + 14 + 4 + 242 + 0 + 2 + 400 + 0 = 666.

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, 497290785 + ... + 497317215.

It is an arithmetic number, because the mean of its divisors is an integer number (139963485376).

Almost surely, 2^{13144242024000} is an apocalyptic number.

13144242024000 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 13144242024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23513865543168).

13144242024000 is an abundant number, since it is smaller than the sum of its proper divisors (33883489062336).

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

13144242024000 is a wasteful number, since it uses less digits than its factorization.

13144242024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33371 (or 33348 counting only the distinct ones).

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

Adding to 13144242024000 its reverse (42024244131), we get a palindrome (13186266268131).

The spelling of 13144242024000 in words is "thirteen trillion, one hundred forty-four billion, two hundred forty-two million, twenty-four thousand".