312401441 has 16 divisors (see below), whose sum is σ = 344217600. Its totient is φ = 281173200.

The previous prime is 312401429. The next prime is 312401447. The reversal of 312401441 is 144104213.

It is not a de Polignac number, because 312401441 - 2¹⁸ = 312139297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312401447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 870020 + ... + 870378.

It is an arithmetic number, because the mean of its divisors is an integer number (21513600).

Almost surely, 2^312401441 is an apocalyptic number.

It is an amenable number.

312401441 is a deficient number, since it is larger than the sum of its proper divisors (31816159).

312401441 is a wasteful number, since it uses less digits than its factorization.

312401441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 312401441 is about 17674.8816403392. The cubic root of 312401441 is about 678.5330552378.

Adding to 312401441 its reverse (144104213), we get a palindrome (456505654).

The spelling of 312401441 in words is "three hundred twelve million, four hundred one thousand, four hundred forty-one".