440327514816 has 336 divisors, whose sum is σ = 1476031405056. Its totient is φ = 122887176192.

The previous prime is 440327514799. The next prime is 440327514817. The reversal of 440327514816 is 618415723044.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (440327514817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109341795 + ... + 109345821.

Almost surely, 2^440327514816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440327514816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738015702528).

440327514816 is an abundant number, since it is smaller than the sum of its proper divisors (1035703890240).

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

440327514816 is a wasteful number, since it uses less digits than its factorization.

440327514816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 440327514816 in words is "four hundred forty billion, three hundred twenty-seven million, five hundred fourteen thousand, eight hundred sixteen".