220042204400 has 120 divisors (see below), whose sum is σ = 534079347984. Its totient is φ = 87114700800.

The previous prime is 220042204399. The next prime is 220042204463. The reversal of 220042204400 is 4402240022.

220042204400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220042204400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74513324 + ... + 74516276.

Almost surely, 2^220042204400 is an apocalyptic number.

220042204400 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 220042204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267039673992).

220042204400 is an abundant number, since it is smaller than the sum of its proper divisors (314037143584).

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

220042204400 is a wasteful number, since it uses less digits than its factorization.

220042204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819 (or 4808 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 220042204400 its reverse (4402240022), we get a palindrome (224444444422).

The spelling of 220042204400 in words is "two hundred twenty billion, forty-two million, two hundred four thousand, four hundred".