128057430816 has 288 divisors, whose sum is σ = 456992565120. Its totient is φ = 34435362816.

The previous prime is 128057430749. The next prime is 128057430847. The reversal of 128057430816 is 618034750821.

128057430816 is a `hidden beast` number, since 1 + 280 + 57 + 4 + 308 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856150 + ... + 994538.

It is an arithmetic number, because the mean of its divisors is an integer number (1586779740).

Almost surely, 2^128057430816 is an apocalyptic number.

128057430816 is a gapful number since it is divisible by the number (16) 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 128057430816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228496282560).

128057430816 is an abundant number, since it is smaller than the sum of its proper divisors (328935134304).

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

128057430816 is a wasteful number, since it uses less digits than its factorization.

128057430816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138438 (or 138418 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

It can be divided in two parts, 1280574 and 30816, that added together give a triangular number (1311390 = T₁₆₁₉).

The spelling of 128057430816 in words is "one hundred twenty-eight billion, fifty-seven million, four hundred thirty thousand, eight hundred sixteen".