13124044004400 has 360 divisors, whose sum is σ = 52055786025984. Its totient is φ = 2999469657600.

The previous prime is 13124044004339. The next prime is 13124044004411. The reversal of 13124044004400 is 440044042131.

13124044004400 is a `hidden beast` number, since 13 + 1 + 240 + 4 + 4 + 0 + 0 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 315256387 + ... + 315298013.

Almost surely, 2^{13124044004400} is an apocalyptic number.

13124044004400 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 13124044004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26027893012992).

13124044004400 is an abundant number, since it is smaller than the sum of its proper divisors (38931742021584).

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

13124044004400 is a wasteful number, since it uses less digits than its factorization.

13124044004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54169 (or 54155 counting only the distinct ones).

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

Adding to 13124044004400 its reverse (440044042131), we get a palindrome (13564088046531).

The spelling of 13124044004400 in words is "thirteen trillion, one hundred twenty-four billion, forty-four million, four thousand, four hundred".