440202220240 has 80 divisors (see below), whose sum is σ = 1040676048720. Its totient is φ = 173123112960.

The previous prime is 440202220231. The next prime is 440202220253. The reversal of 440202220240 is 42022202044.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17740944 + 440184479296 = 4212^2 + 663464^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 12753726 + ... + 12788194.

It is an arithmetic number, because the mean of its divisors is an integer number (13008450609).

Almost surely, 2^440202220240 is an apocalyptic number.

440202220240 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 440202220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520338024360).

440202220240 is an abundant number, since it is smaller than the sum of its proper divisors (600473828480).

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

440202220240 is a wasteful number, since it uses less digits than its factorization.

440202220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37160 (or 37154 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 440202220240 its reverse (42022202044), we get a palindrome (482224422284).

The spelling of 440202220240 in words is "four hundred forty billion, two hundred two million, two hundred twenty thousand, two hundred forty".