6441123373201 has 32 divisors (see below), whose sum is σ = 7065177799680. Its totient is φ = 5823603864000.

The previous prime is 6441123373193. The next prime is 6441123373211. The reversal of 6441123373201 is 1023733211446.

It is a cyclic number.

It is not a de Polignac number, because 6441123373201 - 2³ = 6441123373193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6441123373211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3254735430 + ... + 3254737408.

It is an arithmetic number, because the mean of its divisors is an integer number (220786806240).

Almost surely, 2^{6441123373201} is an apocalyptic number.

It is an amenable number.

6441123373201 is a deficient number, since it is larger than the sum of its proper divisors (624054426479).

6441123373201 is a wasteful number, since it uses less digits than its factorization.

6441123373201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245.

The product of its (nonzero) digits is 72576, while the sum is 37.

Adding to 6441123373201 its reverse (1023733211446), we get a palindrome (7464856584647).

The spelling of 6441123373201 in words is "six trillion, four hundred forty-one billion, one hundred twenty-three million, three hundred seventy-three thousand, two hundred one".