440771680368 has 120 divisors (see below), whose sum is σ = 1308409783200. Its totient is φ = 138037850112.

The previous prime is 440771680289. The next prime is 440771680397. The reversal of 440771680368 is 863086177044.

440771680368 is a `hidden beast` number, since 440 + 7 + 7 + 168 + 0 + 36 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1234693 + ... + 1551131.

It is an arithmetic number, because the mean of its divisors is an integer number (10903414860).

Almost surely, 2^440771680368 is an apocalyptic number.

440771680368 is a gapful number since it is divisible by the number (48) 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 440771680368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654204891600).

440771680368 is an abundant number, since it is smaller than the sum of its proper divisors (867638102832).

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

440771680368 is a wasteful number, since it uses less digits than its factorization.

440771680368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317039 (or 317030 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 440771680368 in words is "four hundred forty billion, seven hundred seventy-one million, six hundred eighty thousand, three hundred sixty-eight".