440901312016 has 45 divisors (see below), whose sum is σ = 939027156879. Its totient is φ = 200396407200.

The previous prime is 440901311909. The next prime is 440901312037. The reversal of 440901312016 is 610213109044.

The square root of 440901312016 is 664004.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29208631 + ... + 29223721.

Almost surely, 2^440901312016 is an apocalyptic number.

440901312016 is the 664004-th square number.

It is an amenable number.

440901312016 is an abundant number, since it is smaller than the sum of its proper divisors (498125844863).

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

440901312016 is an frugal number, since it uses more digits than its factorization.

440901312016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30212 (or 15104 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 440901312016 in words is "four hundred forty billion, nine hundred one million, three hundred twelve thousand, sixteen".