128943292302400 has 189 divisors, whose sum is σ = 337062725113359. Its totient is φ = 48540450140160.

The previous prime is 128943292302379. The next prime is 128943292302401. The reversal of 128943292302400 is 4203292349821.

It is a happy number.

The square root of 128943292302400 is 11355320.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3016112996416 + 125927179305984 = 1736696^2 + 11221728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128943292302401) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 7721609251 + ... + 7721625949.

Almost surely, 2^{128943292302400} is an apocalyptic number.

128943292302400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

128943292302400 is the 11355320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128943292302400

128943292302400 is an abundant number, since it is smaller than the sum of its proper divisors (208119432810959).

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

128943292302400 is an frugal number, since it uses more digits than its factorization.

128943292302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33454 (or 16723 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

The spelling of 128943292302400 in words is "one hundred twenty-eight trillion, nine hundred forty-three billion, two hundred ninety-two million, three hundred two thousand, four hundred".