66225120041 has 16 divisors (see below), whose sum is σ = 68934687360. Its totient is φ = 63544642560.

The previous prime is 66225120019. The next prime is 66225120077. The reversal of 66225120041 is 14002152266.

It is a cyclic number.

It is not a de Polignac number, because 66225120041 - 2¹⁰ = 66225119017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66225119986 and 66225120013.

It is not an unprimeable number, because it can be changed into a prime (66225120341) 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, 5944046 + ... + 5955176.

It is an arithmetic number, because the mean of its divisors is an integer number (4308417960).

Almost surely, 2^66225120041 is an apocalyptic number.

It is an amenable number.

66225120041 is a deficient number, since it is larger than the sum of its proper divisors (2709567319).

66225120041 is a wasteful number, since it uses less digits than its factorization.

66225120041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12416.

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 66225120041 in words is "sixty-six billion, two hundred twenty-five million, one hundred twenty thousand, forty-one".