20140117200 has 1080 divisors, whose sum is σ = 87502970880. Its totient is φ = 4267468800.

The previous prime is 20140117199. The next prime is 20140117213. The reversal of 20140117200 is 271104102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 158583537 + ... + 158583663.

Almost surely, 2^20140117200 is an apocalyptic number.

20140117200 is a gapful number since it is divisible by the number (20) 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 20140117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43751485440).

20140117200 is an abundant number, since it is smaller than the sum of its proper divisors (67362853680).

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

20140117200 is a wasteful number, since it uses less digits than its factorization.

20140117200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The spelling of 20140117200 in words is "twenty billion, one hundred forty million, one hundred seventeen thousand, two hundred".