440225253200 has 120 divisors (see below), whose sum is σ = 1104096744000. Its totient is φ = 168362106880.

The previous prime is 440225253199. The next prime is 440225253217. The reversal of 440225253200 is 2352522044.

It is a super-2 number, since 2×440225253200² (a number of 24 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 23 ways as a sum of consecutive naturals, for example, 24821936 + ... + 24839664.

It is an arithmetic number, because the mean of its divisors is an integer number (9200806200).

Almost surely, 2^440225253200 is an apocalyptic number.

440225253200 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 440225253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552048372000).

440225253200 is an abundant number, since it is smaller than the sum of its proper divisors (663871490800).

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

440225253200 is a wasteful number, since it uses less digits than its factorization.

440225253200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20469 (or 20458 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

Adding to 440225253200 its reverse (2352522044), we get a palindrome (442577775244).

The spelling of 440225253200 in words is "four hundred forty billion, two hundred twenty-five million, two hundred fifty-three thousand, two hundred".