220405002400 has 144 divisors (see below), whose sum is σ = 587364281280. Its totient is φ = 80094617600.

The previous prime is 220405002353. The next prime is 220405002527. The reversal of 220405002400 is 4200504022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14926221 + ... + 14940979.

It is an arithmetic number, because the mean of its divisors is an integer number (4078918620).

Almost surely, 2^220405002400 is an apocalyptic number.

220405002400 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 220405002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293682140640).

220405002400 is an abundant number, since it is smaller than the sum of its proper divisors (366959278880).

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

220405002400 is a wasteful number, since it uses less digits than its factorization.

220405002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16487 (or 16474 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

Adding to 220405002400 its reverse (4200504022), we get a palindrome (224605506422).

The spelling of 220405002400 in words is "two hundred twenty billion, four hundred five million, two thousand, four hundred".