4001585328 has 200 divisors, whose sum is σ = 12592857200. Its totient is φ = 1219401216.

The previous prime is 4001585327. The next prime is 4001585339. The reversal of 4001585328 is 8235851004.

It is a happy number.

4001585328 is a `hidden beast` number, since 40 + 0 + 1 + 585 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4001585292 and 4001585301.

It is not an unprimeable number, because it can be changed into a prime (4001585327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1835343 + ... + 1837521.

It is an arithmetic number, because the mean of its divisors is an integer number (62964286).

Almost surely, 2^4001585328 is an apocalyptic number.

4001585328 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 4001585328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6296428600).

4001585328 is an abundant number, since it is smaller than the sum of its proper divisors (8591271872).

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

4001585328 is a wasteful number, since it uses less digits than its factorization.

4001585328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4001585328 is about 63258.0850800908. The cubic root of 4001585328 is about 1587.6107368803.

The spelling of 4001585328 in words is "four billion, one million, five hundred eighty-five thousand, three hundred twenty-eight".