128370033792 has 2304 divisors, whose sum is σ = 568860364800. Its totient is φ = 28217548800.

The previous prime is 128370033719. The next prime is 128370033793. The reversal of 128370033792 is 297330073821.

It is not an unprimeable number, because it can be changed into a prime (128370033793) 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 287 ways as a sum of consecutive naturals, for example, 4140968817 + ... + 4140968847.

It is an arithmetic number, because the mean of its divisors is an integer number (246901200).

Almost surely, 2^128370033792 is an apocalyptic number.

128370033792 is a gapful number since it is divisible by the number (12) 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 128370033792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284430182400).

128370033792 is an abundant number, since it is smaller than the sum of its proper divisors (440490331008).

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

128370033792 is a wasteful number, since it uses less digits than its factorization.

128370033792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 128370033792 in words is "one hundred twenty-eight billion, three hundred seventy million, thirty-three thousand, seven hundred ninety-two".