4082866560 has 256 divisors, whose sum is σ = 14643691200. Its totient is φ = 1088391168.

The previous prime is 4082866553. The next prime is 4082866577. The reversal of 4082866560 is 656682804.

4082866560 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 86 + 6 + 560 = 666.

4082866560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1398222 + ... + 1401138.

Almost surely, 2^4082866560 is an apocalyptic number.

4082866560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4082866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7321845600).

4082866560 is an abundant number, since it is smaller than the sum of its proper divisors (10560824640).

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

4082866560 is an frugal number, since it uses more digits than its factorization.

4082866560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4082866560 is about 63897.3126195461. The cubic root of 4082866560 is about 1598.2880856632.

The spelling of 4082866560 in words is "four billion, eighty-two million, eight hundred sixty-six thousand, five hundred sixty".