13424254400000 has 240 divisors, whose sum is σ = 33556408189920. Its totient is φ = 5364787200000.

The previous prime is 13424254399981. The next prime is 13424254400003. The reversal of 13424254400000 is 445242431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13424254400003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2110396820 + ... + 2110403180.

It is an arithmetic number, because the mean of its divisors is an integer number (139818367458).

Almost surely, 2^{13424254400000} is an apocalyptic number.

13424254400000 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 13424254400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16778204094960).

13424254400000 is an abundant number, since it is smaller than the sum of its proper divisors (20132153789920).

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

13424254400000 is an frugal number, since it uses more digits than its factorization.

13424254400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7723 (or 7687 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 13424254400000 its reverse (445242431), we get a palindrome (13424699642431).

The spelling of 13424254400000 in words is "thirteen trillion, four hundred twenty-four billion, two hundred fifty-four million, four hundred thousand".