4009082688 has 560 divisors, whose sum is σ = 14044208640. Its totient is φ = 1119744000.

The previous prime is 4009082659. The next prime is 4009082713. The reversal of 4009082688 is 8862809004.

It is a happy number.

4009082688 is a `hidden beast` number, since 400 + 90 + 82 + 6 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39693838 + ... + 39693938.

It is an arithmetic number, because the mean of its divisors is an integer number (25078944).

Almost surely, 2^4009082688 is an apocalyptic number.

4009082688 is a gapful number since it is divisible by the number (48) 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 4009082688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7022104320).

4009082688 is an abundant number, since it is smaller than the sum of its proper divisors (10035125952).

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

4009082688 is a wasteful number, since it uses less digits than its factorization.

4009082688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4009082688 is about 63317.3174415973. The cubic root of 4009082688 is about 1588.6016327583.

The spelling of 4009082688 in words is "four billion, nine million, eighty-two thousand, six hundred eighty-eight".