4405223242400 has 144 divisors (see below), whose sum is σ = 10775639752416. Its totient is φ = 1758588625920.

The previous prime is 4405223242367. The next prime is 4405223242403. The reversal of 4405223242400 is 42423225044.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4405223242403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1552773782 + ... + 1552776618.

It is an arithmetic number, because the mean of its divisors is an integer number (74830831614).

Almost surely, 2^{4405223242400} is an apocalyptic number.

4405223242400 is a gapful number since it is divisible by the number (40) 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 4405223242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387819876208).

4405223242400 is an abundant number, since it is smaller than the sum of its proper divisors (6370416510016).

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

4405223242400 is a wasteful number, since it uses less digits than its factorization.

4405223242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6031 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 32.

Adding to 4405223242400 its reverse (42423225044), we get a palindrome (4447646467444).

The spelling of 4405223242400 in words is "four trillion, four hundred five billion, two hundred twenty-three million, two hundred forty-two thousand, four hundred".