440313314203242 has 128 divisors (see below), whose sum is σ = 1045587120019200. Its totient is φ = 136863528173568.

The previous prime is 440313314203193. The next prime is 440313314203307. The reversal of 440313314203242 is 242302413313044.

440313314203242 is a `hidden beast` number, since 4 + 4 + 0 + 3 + 13 + 314 + 2 + 0 + 324 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 440313314203197 and 440313314203206.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2301630538 + ... + 2301821834.

It is an arithmetic number, because the mean of its divisors is an integer number (8168649375150).

Almost surely, 2^{440313314203242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440313314203242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522793560009600).

440313314203242 is an abundant number, since it is smaller than the sum of its proper divisors (605273805815958).

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

440313314203242 is a wasteful number, since it uses less digits than its factorization.

440313314203242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214437 (or 214431 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 440313314203242 its reverse (242302413313044), we get a palindrome (682615727516286).

The spelling of 440313314203242 in words is "four hundred forty trillion, three hundred thirteen billion, three hundred fourteen million, two hundred three thousand, two hundred forty-two".