440399799168 has 256 divisors, whose sum is σ = 1350023431680. Its totient is φ = 124600320000.

The previous prime is 440399799127. The next prime is 440399799187. The reversal of 440399799168 is 861997993044.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 211627888 + ... + 211629968.

It is an arithmetic number, because the mean of its divisors is an integer number (5273529030).

Almost surely, 2^440399799168 is an apocalyptic number.

440399799168 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 440399799168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675011715840).

440399799168 is an abundant number, since it is smaller than the sum of its proper divisors (909623632512).

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

440399799168 is a wasteful number, since it uses less digits than its factorization.

440399799168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 69.

The spelling of 440399799168 in words is "four hundred forty billion, three hundred ninety-nine million, seven hundred ninety-nine thousand, one hundred sixty-eight".