440222211200 has 216 divisors, whose sum is σ = 1121209224345. Its totient is φ = 170789253120.

The previous prime is 440222211157. The next prime is 440222211217. The reversal of 440222211200 is 2112222044.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 23536469056 + 416685742144 = 153416^2 + 645512^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=469160.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1388713442 + ... + 1388713758.

Almost surely, 2^440222211200 is an apocalyptic number.

440222211200 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 440222211200

440222211200 is an abundant number, since it is smaller than the sum of its proper divisors (680987013145).

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

440222211200 is an frugal number, since it uses more digits than its factorization.

440222211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Multiplying 440222211200 by its product of nonzero digits (512), we get a square (225393772134400 = 15013120²).

Adding to 440222211200 its reverse (2112222044), we get a palindrome (442334433244).

The spelling of 440222211200 in words is "four hundred forty billion, two hundred twenty-two million, two hundred eleven thousand, two hundred".