4029584960 has 112 divisors (see below), whose sum is σ = 9873490032. Its totient is φ = 1565491200.

The previous prime is 4029584957. The next prime is 4029584963. The reversal of 4029584960 is 694859204.

It is an interprime number because it is at equal distance from previous prime (4029584957) and next prime (4029584963).

It can be written as a sum of positive squares in 8 ways, for example, as 19149376 + 4010435584 = 4376^2 + 63328^2 .

It is not an unprimeable number, because it can be changed into a prime (4029584963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3686174 + ... + 3687266.

It is an arithmetic number, because the mean of its divisors is an integer number (88156161).

Almost surely, 2^4029584960 is an apocalyptic number.

4029584960 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 4029584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4936745016).

4029584960 is an abundant number, since it is smaller than the sum of its proper divisors (5843905072).

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

4029584960 is a wasteful number, since it uses less digits than its factorization.

4029584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The square root of 4029584960 is about 63479.0119645856. The cubic root of 4029584960 is about 1591.3050424982.

The spelling of 4029584960 in words is "four billion, twenty-nine million, five hundred eighty-four thousand, nine hundred sixty".