312201434410409 has 32 divisors (see below), whose sum is σ = 327328701235200. Its totient is φ = 297413637131520.

The previous prime is 312201434410387. The next prime is 312201434410433. The reversal of 312201434410409 is 904014434102213.

It is a cyclic number.

It is not a de Polignac number, because 312201434410409 - 2¹⁶ = 312201434344873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312201434410469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2688853334 + ... + 2688969440.

It is an arithmetic number, because the mean of its divisors is an integer number (10229021913600).

Almost surely, 2^{312201434410409} is an apocalyptic number.

It is an amenable number.

312201434410409 is a deficient number, since it is larger than the sum of its proper divisors (15127266824791).

312201434410409 is a wasteful number, since it uses less digits than its factorization.

312201434410409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119493.

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 312201434410409 in words is "three hundred twelve trillion, two hundred one billion, four hundred thirty-four million, four hundred ten thousand, four hundred nine".