440978745312 has 576 divisors, whose sum is σ = 1547093882880. Its totient is φ = 116339908608.

The previous prime is 440978745287. The next prime is 440978745313. The reversal of 440978745312 is 213547879044.

440978745312 is a `hidden beast` number, since 440 + 9 + 78 + 74 + 53 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440978745313) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 714714028 + ... + 714714644.

It is an arithmetic number, because the mean of its divisors is an integer number (2685926880).

Almost surely, 2^440978745312 is an apocalyptic number.

440978745312 is a gapful number since it is divisible by the number (42) 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 440978745312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773546941440).

440978745312 is an abundant number, since it is smaller than the sum of its proper divisors (1106115137568).

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

440978745312 is a wasteful number, since it uses less digits than its factorization.

440978745312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 440978745312 in words is "four hundred forty billion, nine hundred seventy-eight million, seven hundred forty-five thousand, three hundred twelve".