4244032128 has 256 divisors, whose sum is σ = 14155315200. Its totient is φ = 1098510336.

The previous prime is 4244032097. The next prime is 4244032129. The reversal of 4244032128 is 8212304424.

It is a junction number, because it is equal to n+sod(n) for n = 4244032095 and 4244032104.

It is not an unprimeable number, because it can be changed into a prime (4244032129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1172850 + ... + 1176462.

It is an arithmetic number, because the mean of its divisors is an integer number (55294200).

Almost surely, 2^4244032128 is an apocalyptic number.

4244032128 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 4244032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077657600).

4244032128 is an abundant number, since it is smaller than the sum of its proper divisors (9911283072).

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

4244032128 is a wasteful number, since it uses less digits than its factorization.

4244032128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 4244032128 is about 65146.2364837755. The cubic root of 4244032128 is about 1619.0473655381.

The spelling of 4244032128 in words is "four billion, two hundred forty-four million, thirty-two thousand, one hundred twenty-eight".