440311014312 has 256 divisors, whose sum is σ = 1271431365120. Its totient is φ = 126003609600.

The previous prime is 440311014301. The next prime is 440311014313. The reversal of 440311014312 is 213410113044.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (440311014313) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 93264112 + ... + 93268832.

It is an arithmetic number, because the mean of its divisors is an integer number (4966528770).

Almost surely, 2^440311014312 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 440311014312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635715682560).

440311014312 is an abundant number, since it is smaller than the sum of its proper divisors (831120350808).

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

440311014312 is a wasteful number, since it uses less digits than its factorization.

440311014312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 440311014312 its reverse (213410113044), we get a palindrome (653721127356).

The spelling of 440311014312 in words is "four hundred forty billion, three hundred eleven million, fourteen thousand, three hundred twelve".