220000114400 has 288 divisors, whose sum is σ = 624537527040. Its totient is φ = 74787840000.

The previous prime is 220000114393. The next prime is 220000114403. The reversal of 220000114400 is 4411000022.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220000114403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22584731 + ... + 22594469.

It is an arithmetic number, because the mean of its divisors is an integer number (2168533080).

Almost surely, 2^220000114400 is an apocalyptic number.

220000114400 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 220000114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312268763520).

220000114400 is an abundant number, since it is smaller than the sum of its proper divisors (404537412640).

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

220000114400 is a wasteful number, since it uses less digits than its factorization.

220000114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9938 (or 9925 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220000114400 its reverse (4411000022), we get a palindrome (224411114422).

The spelling of 220000114400 in words is "two hundred twenty billion, one hundred fourteen thousand, four hundred".