4403331072 has 384 divisors, whose sum is σ = 15267033600. Its totient is φ = 1242169344.

The previous prime is 4403331059. The next prime is 4403331103. The reversal of 4403331072 is 2701333044.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 4403331072 = 384³ + 1632³ = 1216³ + 1376³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55738329 + ... + 55738407.

It is an arithmetic number, because the mean of its divisors is an integer number (39757900).

Almost surely, 2^4403331072 is an apocalyptic number.

4403331072 is a gapful number since it is divisible by the number (42) 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 4403331072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7633516800).

4403331072 is an abundant number, since it is smaller than the sum of its proper divisors (10863702528).

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

4403331072 is an frugal number, since it uses more digits than its factorization.

4403331072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 4403331072 is about 66357.5999565988. The cubic root of 4403331072 is about 1639.0559547928.

The spelling of 4403331072 in words is "four billion, four hundred three million, three hundred thirty-one thousand, seventy-two".