220443442400 has 72 divisors (see below), whose sum is σ = 538461864360. Its totient is φ = 88127516160.

The previous prime is 220443442393. The next prime is 220443442451. The reversal of 220443442400 is 4244344022.

It is a super-2 number, since 2×220443442400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1354187 + ... + 1508213.

It is an arithmetic number, because the mean of its divisors is an integer number (7478637005).

Almost surely, 2^220443442400 is an apocalyptic number.

220443442400 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 220443442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269230932180).

220443442400 is an abundant number, since it is smaller than the sum of its proper divisors (318018421960).

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

220443442400 is a wasteful number, since it uses less digits than its factorization.

220443442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155836 (or 155823 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 220443442400 its reverse (4244344022), we get a palindrome (224687786422).

The spelling of 220443442400 in words is "two hundred twenty billion, four hundred forty-three million, four hundred forty-two thousand, four hundred".