312142441330404 has 18 divisors (see below), whose sum is σ = 789026726696390. Its totient is φ = 104047480443456.

The previous prime is 312142441330351. The next prime is 312142441330451. The reversal of 312142441330404 is 404033144241213.

312142441330404 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 4 + 244 + 1 + 3 + 3 + 0 + 404 = 666.

It can be written as a sum of positive squares in only one way, i.e., 301695014196900 + 10447427133504 = 17369370^2 + 3232248^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×312142441330404³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 8670623370289 = 312142441330404 / (3 + 1 + 2 + 1 + 4 + 2 + 4 + 4 + 1 + 3 + 3 + 0 + 4 + 0 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4335311685109 + ... + 4335311685180.

Almost surely, 2^{312142441330404} is an apocalyptic number.

It is an amenable number.

312142441330404 is an abundant number, since it is smaller than the sum of its proper divisors (476884285365986).

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

312142441330404 is a wasteful number, since it uses less digits than its factorization.

312142441330404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8670623370299 (or 8670623370294 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 312142441330404 its reverse (404033144241213), we get a palindrome (716175585571617).

The spelling of 312142441330404 in words is "three hundred twelve trillion, one hundred forty-two billion, four hundred forty-one million, three hundred thirty thousand, four hundred four".