4045256964 has 288 divisors, whose sum is σ = 13160399616. Its totient is φ = 1060024320.

The previous prime is 4045256939. The next prime is 4045256977. The reversal of 4045256964 is 4696525404.

4045256964 is a `hidden beast` number, since 4 + 0 + 4 + 525 + 69 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4741962 + ... + 4742814.

It is an arithmetic number, because the mean of its divisors is an integer number (45695832).

Almost surely, 2^4045256964 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 4045256964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580199808).

4045256964 is an abundant number, since it is smaller than the sum of its proper divisors (9115142652).

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

4045256964 is a wasteful number, since it uses less digits than its factorization.

4045256964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 4045256964 is about 63602.3345797935. The cubic root of 4045256964 is about 1593.3653603540.

The spelling of 4045256964 in words is "four billion, forty-five million, two hundred fifty-six thousand, nine hundred sixty-four".