4480384843296 has 144 divisors (see below), whose sum is σ = 12888905912064. Its totient is φ = 1476207839232.

The previous prime is 4480384843283. The next prime is 4480384843307. The reversal of 4480384843296 is 6923484830844.

4480384843296 is a `hidden beast` number, since 4 + 4 + 8 + 0 + 38 + 484 + 32 + 96 = 666.

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

It is a super-2 number, since 2×4480384843296² (a number of 26 digits) contains 22 as substring.

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, 11756085 + ... + 12131211.

It is an arithmetic number, because the mean of its divisors is an integer number (89506291056).

Almost surely, 2^{4480384843296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4480384843296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6444452956032).

4480384843296 is an abundant number, since it is smaller than the sum of its proper divisors (8408521068768).

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

4480384843296 is a wasteful number, since it uses less digits than its factorization.

4480384843296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375623 (or 375612 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 63.

The spelling of 4480384843296 in words is "four trillion, four hundred eighty billion, three hundred eighty-four million, eight hundred forty-three thousand, two hundred ninety-six".