330431212401441 has 16 divisors (see below), whose sum is σ = 441693361041408. Its totient is φ = 219728492024400.

The previous prime is 330431212401421. The next prime is 330431212401481. The reversal of 330431212401441 is 144104212134033.

It is a happy number.

It is not a de Polignac number, because 330431212401441 - 2⁶ = 330431212401377 is a prime.

It is a super-2 number, since 2×330431212401441² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (330431212401421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21895891 + ... + 33768216.

It is an arithmetic number, because the mean of its divisors is an integer number (27605835065088).

Almost surely, 2^{330431212401441} is an apocalyptic number.

It is an amenable number.

330431212401441 is a deficient number, since it is larger than the sum of its proper divisors (111262148639967).

330431212401441 is a wasteful number, since it uses less digits than its factorization.

330431212401441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55669132.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 330431212401441 its reverse (144104212134033), we get a palindrome (474535424535474).

The spelling of 330431212401441 in words is "three hundred thirty trillion, four hundred thirty-one billion, two hundred twelve million, four hundred one thousand, four hundred forty-one".