4404061728 has 144 divisors (see below), whose sum is σ = 13702905216. Its totient is φ = 1330629120.

The previous prime is 4404061723. The next prime is 4404061729. The reversal of 4404061728 is 8271604044.

4404061728 is a `hidden beast` number, since 440 + 40 + 6 + 172 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 4404061692 and 4404061701.

It is not an unprimeable number, because it can be changed into a prime (4404061723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1179801 + ... + 1183527.

It is an arithmetic number, because the mean of its divisors is an integer number (95159064).

Almost surely, 2^4404061728 is an apocalyptic number.

4404061728 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 4404061728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6851452608).

4404061728 is an abundant number, since it is smaller than the sum of its proper divisors (9298843488).

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

4404061728 is a wasteful number, since it uses less digits than its factorization.

4404061728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4404061728 is about 66363.1051714731. The cubic root of 4404061728 is about 1639.1466073628.

The spelling of 4404061728 in words is "four billion, four hundred four million, sixty-one thousand, seven hundred twenty-eight".