4065466645604 has 192 divisors, whose sum is σ = 9424196812800. Its totient is φ = 1489533898752.

The previous prime is 4065466645589. The next prime is 4065466645619.

4065466645604 is nontrivially palindromic in base 10.

4065466645604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4065466645589) and next prime (4065466645619).

It is a self number, because there is not a number n which added to its sum of digits gives 4065466645604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 301966577 + ... + 301980039.

It is an arithmetic number, because the mean of its divisors is an integer number (49084358400).

Almost surely, 2^{4065466645604} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4065466645604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712098406400).

4065466645604 is an abundant number, since it is smaller than the sum of its proper divisors (5358730167196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4065466645604 is a wasteful number, since it uses less digits than its factorization.

4065466645604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14482 (or 14480 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 56.

The spelling of 4065466645604 in words is "four trillion, sixty-five billion, four hundred sixty-six million, six hundred forty-five thousand, six hundred four".