4029648000 has 512 divisors, whose sum is σ = 15581030400. Its totient is φ = 902246400.

The previous prime is 4029647987. The next prime is 4029648089. The reversal of 4029648000 is 8469204.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 22511911 + ... + 22512089.

It is an arithmetic number, because the mean of its divisors is an integer number (30431700).

Almost surely, 2^4029648000 is an apocalyptic number.

4029648000 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 4029648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7790515200).

4029648000 is an abundant number, since it is smaller than the sum of its proper divisors (11551382400).

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

4029648000 is a wasteful number, since it uses less digits than its factorization.

4029648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4029648000 is about 63479.5085047136. The cubic root of 4029648000 is about 1591.3133407347.

The spelling of 4029648000 in words is "four billion, twenty-nine million, six hundred forty-eight thousand".