4008846096 has 180 divisors, whose sum is σ = 11813284080. Its totient is φ = 1268668800.

The previous prime is 4008846089. The next prime is 4008846131. The reversal of 4008846096 is 6906488004.

It is a happy number.

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, 8164411 + ... + 8164901.

It is an arithmetic number, because the mean of its divisors is an integer number (65629356).

Almost surely, 2^4008846096 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 4008846096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5906642040).

4008846096 is an abundant number, since it is smaller than the sum of its proper divisors (7804437984).

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

4008846096 is a wasteful number, since it uses less digits than its factorization.

4008846096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4008846096 is about 63315.4491099921. The cubic root of 4008846096 is about 1588.5703822321.

The spelling of 4008846096 in words is "four billion, eight million, eight hundred forty-six thousand, ninety-six".