73041564401 has 16 divisors (see below), whose sum is σ = 80580394944. Its totient is φ = 65795868864.

The previous prime is 73041564383. The next prime is 73041564457. The reversal of 73041564401 is 10446514037.

It is a cyclic number.

It is not a de Polignac number, because 73041564401 - 2³⁴ = 55861695217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (73041564481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298670 + ... + 485063.

It is an arithmetic number, because the mean of its divisors is an integer number (5036274684).

Almost surely, 2^73041564401 is an apocalyptic number.

It is an amenable number.

73041564401 is a deficient number, since it is larger than the sum of its proper divisors (7538830543).

73041564401 is a wasteful number, since it uses less digits than its factorization.

73041564401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783920.

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 73041564401 in words is "seventy-three billion, forty-one million, five hundred sixty-four thousand, four hundred one".