4065941664 has 192 divisors, whose sum is σ = 12192768000. Its totient is φ = 1317738240.

The previous prime is 4065941657. The next prime is 4065941683. The reversal of 4065941664 is 4661495604.

It is a happy number.

4065941664 is a `hidden beast` number, since 40 + 6 + 594 + 16 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4845757 + ... + 4846595.

It is an arithmetic number, because the mean of its divisors is an integer number (63504000).

Almost surely, 2^4065941664 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 4065941664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384000).

4065941664 is an abundant number, since it is smaller than the sum of its proper divisors (8126826336).

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

4065941664 is a wasteful number, since it uses less digits than its factorization.

4065941664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4065941664 is about 63764.7368378479. The cubic root of 4065941664 is about 1596.0765410745.

The spelling of 4065941664 in words is "four billion, sixty-five million, nine hundred forty-one thousand, six hundred sixty-four".