4431428573328 has 180 divisors, whose sum is σ = 12968037734652. Its totient is φ = 1412533731840.

The previous prime is 4431428573311. The next prime is 4431428573359. The reversal of 4431428573328 is 8233758241344.

4431428573328 is a `hidden beast` number, since 4 + 4 + 3 + 1 + 42 + 8 + 573 + 3 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2921597095824 + 1509831477504 = 1709268^2 + 1228752^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 437321350 + ... + 437331482.

Almost surely, 2^{4431428573328} is an apocalyptic number.

4431428573328 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 4431428573328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484018867326).

4431428573328 is an abundant number, since it is smaller than the sum of its proper divisors (8536609161324).

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

4431428573328 is a wasteful number, since it uses less digits than its factorization.

4431428573328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15934 (or 15902 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 4431428573328 in words is "four trillion, four hundred thirty-one billion, four hundred twenty-eight million, five hundred seventy-three thousand, three hundred twenty-eight".