412330331205 has 72 divisors (see below), whose sum is σ = 819436824648. Its totient is φ = 191052546048.

The previous prime is 412330331159. The next prime is 412330331219. The reversal of 412330331205 is 502133033214.

412330331205 is a `hidden beast` number, since 4 + 12 + 330 + 3 + 312 + 0 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 260877820644 + 151452510561 = 510762^2 + 389169^2 .

It is not a de Polignac number, because 412330331205 - 2⁸ = 412330330949 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1465372 + ... + 1723941.

It is an arithmetic number, because the mean of its divisors is an integer number (11381067009).

Almost surely, 2^412330331205 is an apocalyptic number.

412330331205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

412330331205 is a deficient number, since it is larger than the sum of its proper divisors (407106493443).

412330331205 is a wasteful number, since it uses less digits than its factorization.

412330331205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189367 (or 3189351 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 412330331205 its reverse (502133033214), we get a palindrome (914463364419).

The spelling of 412330331205 in words is "four hundred twelve billion, three hundred thirty million, three hundred thirty-one thousand, two hundred five".