4082860800 has 324 divisors, whose sum is σ = 14812348824. Its totient is φ = 1072742400.

The previous prime is 4082860783. The next prime is 4082860819. The reversal of 4082860800 is 80682804.

4082860800 is a `hidden beast` number, since 40 + 8 + 2 + 8 + 608 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4204315 + ... + 4205285.

It is an arithmetic number, because the mean of its divisors is an integer number (45717126).

Almost surely, 2^4082860800 is an apocalyptic number.

4082860800 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 4082860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7406174412).

4082860800 is an abundant number, since it is smaller than the sum of its proper divisors (10729488024).

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

4082860800 is a wasteful number, since it uses less digits than its factorization.

4082860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4082860800 is about 63897.2675472121. The cubic root of 4082860800 is about 1598.2873340554.

The spelling of 4082860800 in words is "four billion, eighty-two million, eight hundred sixty thousand, eight hundred".