4082041600 has 432 divisors, whose sum is σ = 12802569472. Its totient is φ = 1254113280.

The previous prime is 4082041589. The next prime is 4082041619. The reversal of 4082041600 is 61402804.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25043119 + ... + 25043281.

Almost surely, 2^4082041600 is an apocalyptic number.

4082041600 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 4082041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401284736).

4082041600 is an abundant number, since it is smaller than the sum of its proper divisors (8720527872).

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

4082041600 is a wasteful number, since it uses less digits than its factorization.

4082041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 4082041600 is about 63890.8569358715. The cubic root of 4082041600 is about 1598.1804315160.

The spelling of 4082041600 in words is "four billion, eighty-two million, forty-one thousand, six hundred".