4045086864 has 560 divisors, whose sum is σ = 14997428992. Its totient is φ = 1027924992.

The previous prime is 4045086823. The next prime is 4045086883. The reversal of 4045086864 is 4686805404.

4045086864 is a `hidden beast` number, since 40 + 450 + 86 + 86 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 39272637 + ... + 39272739.

Almost surely, 2^4045086864 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 4045086864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7498714496).

4045086864 is an abundant number, since it is smaller than the sum of its proper divisors (10952342128).

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

4045086864 is a wasteful number, since it uses less digits than its factorization.

4045086864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 4045086864 is about 63600.9973506705. The cubic root of 4045086864 is about 1593.3430267710.

The spelling of 4045086864 in words is "four billion, forty-five million, eighty-six thousand, eight hundred sixty-four".