220223414400 has 384 divisors, whose sum is σ = 794875196160. Its totient is φ = 53146521600.

The previous prime is 220223414387. The next prime is 220223414417. The reversal of 220223414400 is 4414322022.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23966607 + ... + 23975793.

It is an arithmetic number, because the mean of its divisors is an integer number (2069987490).

Almost surely, 2^220223414400 is an apocalyptic number.

220223414400 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 220223414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397437598080).

220223414400 is an abundant number, since it is smaller than the sum of its proper divisors (574651781760).

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

220223414400 is a wasteful number, since it uses less digits than its factorization.

220223414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9452 (or 9435 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 220223414400 its reverse (4414322022), we get a palindrome (224637736422).

The spelling of 220223414400 in words is "two hundred twenty billion, two hundred twenty-three million, four hundred fourteen thousand, four hundred".