314034330440441 has 8 divisors (see below), whose sum is σ = 338196916426824. Its totient is φ = 289872615744000.

The previous prime is 314034330440429. The next prime is 314034330440483. The reversal of 314034330440441 is 144044033430413.

It can be written as a sum of positive squares in 4 ways, for example, as 17364847423225 + 296669483017216 = 4167115^2 + 17224096^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-314034330440441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314034330440395 and 314034330440404.

It is not an unprimeable number, because it can be changed into a prime (314034330440141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217073810 + ... + 218515691.

It is an arithmetic number, because the mean of its divisors is an integer number (42274614553353).

Almost surely, 2^{314034330440441} is an apocalyptic number.

It is an amenable number.

314034330440441 is a deficient number, since it is larger than the sum of its proper divisors (24162585986383).

314034330440441 is a wasteful number, since it uses less digits than its factorization.

314034330440441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435644971.

The product of its (nonzero) digits is 331776, while the sum is 38.

Adding to 314034330440441 its reverse (144044033430413), we get a palindrome (458078363870854).

The spelling of 314034330440441 in words is "three hundred fourteen trillion, thirty-four billion, three hundred thirty million, four hundred forty thousand, four hundred forty-one".