13741228800 has 540 divisors, whose sum is σ = 54742694160. Its totient is φ = 3380797440.

The previous prime is 13741228763. The next prime is 13741228807. The reversal of 13741228800 is 882214731.

13741228800 is a `hidden beast` number, since 1 + 374 + 1 + 2 + 288 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is not an unprimeable number, because it can be changed into a prime (13741228807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6738181 + ... + 6740219.

Almost surely, 2^13741228800 is an apocalyptic number.

13741228800 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 13741228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27371347080).

13741228800 is an abundant number, since it is smaller than the sum of its proper divisors (41001465360).

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

13741228800 is a wasteful number, since it uses less digits than its factorization.

13741228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 13741228800 in words is "thirteen billion, seven hundred forty-one million, two hundred twenty-eight thousand, eight hundred".