13741324800 has 720 divisors, whose sum is σ = 54084618720. Its totient is φ = 3065610240.

The previous prime is 13741324789. The next prime is 13741324829. The reversal of 13741324800 is 842314731.

It is a congruent number.

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, 126067146 + ... + 126067254.

It is an arithmetic number, because the mean of its divisors is an integer number (75117526).

Almost surely, 2^13741324800 is an apocalyptic number.

13741324800 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 13741324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27042309360).

13741324800 is an abundant number, since it is smaller than the sum of its proper divisors (40343293920).

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

13741324800 is a wasteful number, since it uses less digits than its factorization.

13741324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 13741324800 in words is "thirteen billion, seven hundred forty-one million, three hundred twenty-four thousand, eight hundred".