4082601600 has 864 divisors, whose sum is σ = 18556892640. Its totient is φ = 845107200.

The previous prime is 4082601587. The next prime is 4082601617. The reversal of 4082601600 is 61062804.

4082601600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 15523069 + ... + 15523331.

It is an arithmetic number, because the mean of its divisors is an integer number (21477885).

Almost surely, 2^4082601600 is an apocalyptic number.

4082601600 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 4082601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9278446320).

4082601600 is an abundant number, since it is smaller than the sum of its proper divisors (14474291040).

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

4082601600 is a wasteful number, since it uses less digits than its factorization.

4082601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4082601600 is about 63895.2392592750. The cubic root of 4082601600 is about 1598.2535109704.

The spelling of 4082601600 in words is "four billion, eighty-two million, six hundred one thousand, six hundred".