314441111440 has 40 divisors (see below), whose sum is σ = 731154330360. Its totient is φ = 125762896896.

The previous prime is 314441111419. The next prime is 314441111443. The reversal of 314441111440 is 44111144413.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25788505744 + 288652605696 = 160588^2 + 537264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 314441111399 and 314441111408.

It is not an unprimeable number, because it can be changed into a prime (314441111443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 552826 + ... + 966694.

It is an arithmetic number, because the mean of its divisors is an integer number (18278858259).

Almost surely, 2^314441111440 is an apocalyptic number.

It is an amenable number.

314441111440 is an abundant number, since it is smaller than the sum of its proper divisors (416713218920).

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

314441111440 is a wasteful number, since it uses less digits than its factorization.

314441111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423379 (or 423373 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 314441111440 its reverse (44111144413), we get a palindrome (358552255853).

The spelling of 314441111440 in words is "three hundred fourteen billion, four hundred forty-one million, one hundred eleven thousand, four hundred forty".