331340422401 has 12 divisors (see below), whose sum is σ = 482993685460. Its totient is φ = 218867067360.

The previous prime is 331340422393. The next prime is 331340422433. The reversal of 331340422401 is 104224043133.

331340422401 is a `hidden beast` number, since 3 + 3 + 13 + 404 + 2 + 240 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124715628801 + 206624793600 = 353151^2 + 454560^2 .

It is not a de Polignac number, because 331340422401 - 2³ = 331340422393 is a prime.

It is a super-3 number, since 3×331340422401³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (331340422601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168877930 + ... + 168879891.

Almost surely, 2^331340422401 is an apocalyptic number.

It is an amenable number.

331340422401 is a deficient number, since it is larger than the sum of its proper divisors (151653263059).

331340422401 is a wasteful number, since it uses less digits than its factorization.

331340422401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337757936 (or 337757933 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 331340422401 its reverse (104224043133), we get a palindrome (435564465534).

The spelling of 331340422401 in words is "three hundred thirty-one billion, three hundred forty million, four hundred twenty-two thousand, four hundred one".