4085786880 has 288 divisors, whose sum is σ = 16571116800. Its totient is φ = 933838848.

The previous prime is 4085786869. The next prime is 4085786911. The reversal of 4085786880 is 886875804.

4085786880 is a `hidden beast` number, since 4 + 0 + 8 + 578 + 68 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233476 + ... + 250364.

It is an arithmetic number, because the mean of its divisors is an integer number (57538600).

Almost surely, 2^4085786880 is an apocalyptic number.

4085786880 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 4085786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8285558400).

4085786880 is an abundant number, since it is smaller than the sum of its proper divisors (12485329920).

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

4085786880 is a wasteful number, since it uses less digits than its factorization.

4085786880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16926 (or 16906 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 4085786880 is about 63920.1602000496. The cubic root of 4085786880 is about 1598.6690598476.

The spelling of 4085786880 in words is "four billion, eighty-five million, seven hundred eighty-six thousand, eight hundred eighty".