14200138230080 has 448 divisors, whose sum is σ = 40623307038720. Its totient is φ = 4671011635200.

The previous prime is 14200138229903. The next prime is 14200138230097. The reversal of 14200138230080 is 8003283100241.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128822669 + ... + 128932851.

It is an arithmetic number, because the mean of its divisors is an integer number (90677024640).

Almost surely, 2^{14200138230080} is an apocalyptic number.

14200138230080 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 14200138230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311653519360).

14200138230080 is an abundant number, since it is smaller than the sum of its proper divisors (26423168808640).

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

14200138230080 is a wasteful number, since it uses less digits than its factorization.

14200138230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110318 (or 110308 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 14200138230080 in words is "fourteen trillion, two hundred billion, one hundred thirty-eight million, two hundred thirty thousand, eighty".