440741965456 has 135 divisors (see below), whose sum is σ = 983580037083. Its totient is φ = 191198592000.

The previous prime is 440741965453. The next prime is 440741965457. The reversal of 440741965456 is 654569147044.

The square root of 440741965456 is 663884.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3979591056 + 436762374400 = 63084^2 + 660880^2 .

It is a super-2 number, since 2×440741965456² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 440741965397 and 440741965406.

It is not an unprimeable number, because it can be changed into a prime (440741965451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 586873081 + ... + 586873831.

Almost surely, 2^440741965456 is an apocalyptic number.

440741965456 is the 663884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440741965456

440741965456 is an abundant number, since it is smaller than the sum of its proper divisors (542838071627).

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

440741965456 is an equidigital number, since it uses as much as digits as its factorization.

440741965456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 55.

The spelling of 440741965456 in words is "four hundred forty billion, seven hundred forty-one million, nine hundred sixty-five thousand, four hundred fifty-six".