13140044294400 has 864 divisors, whose sum is σ = 48956506583040. Its totient is φ = 3447972864000.

The previous prime is 13140044294371. The next prime is 13140044294417. The reversal of 13140044294400 is 449244004131.

It is a happy number.

13140044294400 is a `hidden beast` number, since 13 + 140 + 0 + 44 + 29 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11913004249 + ... + 11913005351.

It is an arithmetic number, because the mean of its divisors is an integer number (56662623360).

Almost surely, 2^{13140044294400} is an apocalyptic number.

13140044294400 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 13140044294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24478253291520).

13140044294400 is an abundant number, since it is smaller than the sum of its proper divisors (35816462288640).

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

13140044294400 is a wasteful number, since it uses less digits than its factorization.

13140044294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 13140044294400 its reverse (449244004131), we get a palindrome (13589288298531).

The spelling of 13140044294400 in words is "thirteen trillion, one hundred forty billion, forty-four million, two hundred ninety-four thousand, four hundred".