440861368320 has 336 divisors, whose sum is σ = 1544106269160. Its totient is φ = 116341604352.

The previous prime is 440861368319. The next prime is 440861368331. The reversal of 440861368320 is 23863168044.

440861368320 is a `hidden beast` number, since 4 + 4 + 0 + 8 + 613 + 6 + 8 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 186458148864 + 254403219456 = 431808^2 + 504384^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 35751916 + ... + 35764244.

Almost surely, 2^440861368320 is an apocalyptic number.

440861368320 is a gapful number since it is divisible by the number (40) 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 440861368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772053134580).

440861368320 is an abundant number, since it is smaller than the sum of its proper divisors (1103244900840).

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

440861368320 is a wasteful number, since it uses less digits than its factorization.

440861368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12463 (or 12436 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 440861368320 in words is "four hundred forty billion, eight hundred sixty-one million, three hundred sixty-eight thousand, three hundred twenty".