14188379806400 has 168 divisors, whose sum is σ = 35046981370464. Its totient is φ = 5653496217600.

The previous prime is 14188379806357. The next prime is 14188379806417. The reversal of 14188379806400 is 460897388141.

It is a self number, because there is not a number n which added to its sum of digits gives 14188379806400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457925309 + ... + 457956291.

It is an arithmetic number, because the mean of its divisors is an integer number (208612984348).

Almost surely, 2^{14188379806400} is an apocalyptic number.

14188379806400 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 14188379806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17523490685232).

14188379806400 is an abundant number, since it is smaller than the sum of its proper divisors (20858601564064).

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

14188379806400 is a wasteful number, since it uses less digits than its factorization.

14188379806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32099 (or 32084 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 59.

The spelling of 14188379806400 in words is "fourteen trillion, one hundred eighty-eight billion, three hundred seventy-nine million, eight hundred six thousand, four hundred".