440144314344 has 160 divisors (see below), whose sum is σ = 1412446939200. Its totient is φ = 125441395200.

The previous prime is 440144314333. The next prime is 440144314367. The reversal of 440144314344 is 443413441044.

440144314344 is a `hidden beast` number, since 440 + 144 + 31 + 4 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 440144314299 and 440144314308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1697947 + ... + 1939925.

It is an arithmetic number, because the mean of its divisors is an integer number (8827793370).

Almost surely, 2^440144314344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440144314344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706223469600).

440144314344 is an abundant number, since it is smaller than the sum of its proper divisors (972302624856).

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

440144314344 is a wasteful number, since it uses less digits than its factorization.

440144314344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242405 (or 242392 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 440144314344 its reverse (443413441044), we get a palindrome (883557755388).

The spelling of 440144314344 in words is "four hundred forty billion, one hundred forty-four million, three hundred fourteen thousand, three hundred forty-four".