4081608576 has 256 divisors, whose sum is σ = 12900960000. Its totient is φ = 1266554880.

The previous prime is 4081608571. The next prime is 4081608607. The reversal of 4081608576 is 6758061804.

It is a happy number.

4081608576 is a `hidden beast` number, since 408 + 160 + 85 + 7 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4081608571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4004995 + ... + 4006013.

It is an arithmetic number, because the mean of its divisors is an integer number (50394375).

Almost surely, 2^4081608576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4081608576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6450480000).

4081608576 is an abundant number, since it is smaller than the sum of its proper divisors (8819351424).

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

4081608576 is a wasteful number, since it uses less digits than its factorization.

4081608576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4081608576 is about 63887.4680669065. The cubic root of 4081608576 is about 1598.1239177235.

The spelling of 4081608576 in words is "four billion, eighty-one million, six hundred eight thousand, five hundred seventy-six".