440022420200 has 96 divisors (see below), whose sum is σ = 1116293909760. Its totient is φ = 159974169600.

The previous prime is 440022420197. The next prime is 440022420217. The reversal of 440022420200 is 2024220044.

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

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, 11846057 + ... + 11883143.

It is an arithmetic number, because the mean of its divisors is an integer number (11628061560).

Almost surely, 2^440022420200 is an apocalyptic number.

440022420200 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 440022420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558146954880).

440022420200 is an abundant number, since it is smaller than the sum of its proper divisors (676271489560).

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

440022420200 is a wasteful number, since it uses less digits than its factorization.

440022420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42507 (or 42498 counting only the distinct ones).

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

Adding to 440022420200 its reverse (2024220044), we get a palindrome (442046640244).

The spelling of 440022420200 in words is "four hundred forty billion, twenty-two million, four hundred twenty thousand, two hundred".