43430149728 has 288 divisors, whose sum is σ = 148154662656. Its totient is φ = 12257837568.

The previous prime is 43430149727. The next prime is 43430149739. The reversal of 43430149728 is 82794103434.

43430149728 is a `hidden beast` number, since 4 + 3 + 430 + 149 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43430149727) 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 47 ways as a sum of consecutive naturals, for example, 4513050 + ... + 4522662.

It is an arithmetic number, because the mean of its divisors is an integer number (514425912).

Almost surely, 2^43430149728 is an apocalyptic number.

43430149728 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 43430149728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74077331328).

43430149728 is an abundant number, since it is smaller than the sum of its proper divisors (104724512928).

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

43430149728 is an equidigital number, since it uses as much as digits as its factorization.

43430149728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9728 (or 9708 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 43430149728 in words is "forty-three billion, four hundred thirty million, one hundred forty-nine thousand, seven hundred twenty-eight".