128092410000 has 225 divisors, whose sum is σ = 448333463149. Its totient is φ = 34129344000.

The previous prime is 128092409959. The next prime is 128092410049. The reversal of 128092410000 is 14290821.

The square root of 128092410000 is 357900.

It is a perfect power (a square), and thus also a powerful number.

128092410000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 96992382096 + 31100027904 = 311436^2 + 176352^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 107369404 + ... + 107370596.

Almost surely, 2^128092410000 is an apocalyptic number.

128092410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

128092410000 is the 357900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128092410000

128092410000 is an abundant number, since it is smaller than the sum of its proper divisors (320241053149).

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

128092410000 is an frugal number, since it uses more digits than its factorization.

128092410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 128092410000 in words is "one hundred twenty-eight billion, ninety-two million, four hundred ten thousand".