312404144303041 has 24 divisors (see below), whose sum is σ = 363630100720320. Its totient is φ = 262908403988256.

The previous prime is 312404144302969. The next prime is 312404144303047. The reversal of 312404144303041 is 140303441404213.

It is a de Polignac number, because none of the positive numbers 2^k-312404144303041 is a prime.

It is a super-3 number, since 3×312404144303041³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312404144302988 and 312404144303006.

It is not an unprimeable number, because it can be changed into a prime (312404144303047) 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 23 ways as a sum of consecutive naturals, for example, 12154786 + ... + 27794731.

It is an arithmetic number, because the mean of its divisors is an integer number (15151254196680).

Almost surely, 2^{312404144303041} is an apocalyptic number.

It is an amenable number.

312404144303041 is a deficient number, since it is larger than the sum of its proper divisors (51225956417279).

312404144303041 is an equidigital number, since it uses as much as digits as its factorization.

312404144303041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39949861 (or 39949782 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 312404144303041 its reverse (140303441404213), we get a palindrome (452707585707254).

The spelling of 312404144303041 in words is "three hundred twelve trillion, four hundred four billion, one hundred forty-four million, three hundred three thousand, forty-one".