312342302400041 has 8 divisors (see below), whose sum is σ = 312864961350024. Its totient is φ = 311819686214400.

The previous prime is 312342302399993. The next prime is 312342302400071. The reversal of 312342302400041 is 140004203243213.

It can be written as a sum of positive squares in 4 ways, for example, as 47935059955225 + 264407242444816 = 6923515^2 + 16260604^2 .

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-312342302400041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312342302399977 and 312342302400013.

It is not an unprimeable number, because it can be changed into a prime (312342302400071) 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, 3945491 + ... + 25303191.

It is an arithmetic number, because the mean of its divisors is an integer number (39108120168753).

Almost surely, 2^{312342302400041} is an apocalyptic number.

It is an amenable number.

312342302400041 is a deficient number, since it is larger than the sum of its proper divisors (522658949983).

312342302400041 is a wasteful number, since it uses less digits than its factorization.

312342302400041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21382171.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 312342302400041 its reverse (140004203243213), we get a palindrome (452346505643254).

The spelling of 312342302400041 in words is "three hundred twelve trillion, three hundred forty-two billion, three hundred two million, four hundred thousand, forty-one".