128989307246400 has 504 divisors, whose sum is σ = 461195020915200. Its totient is φ = 34192156078080.

The previous prime is 128989307246363. The next prime is 128989307246411. The reversal of 128989307246400 is 4642703989821.

128989307246400 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 89 + 307 + 246 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3132080209 + ... + 3132121391.

Almost surely, 2^{128989307246400} is an apocalyptic number.

128989307246400 is a gapful number since it is divisible by the number (10) 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 128989307246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230597510457600).

128989307246400 is an abundant number, since it is smaller than the sum of its proper divisors (332205713668800).

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

128989307246400 is a wasteful number, since it uses less digits than its factorization.

128989307246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42503 (or 42485 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 128989307246400 in words is "one hundred twenty-eight trillion, nine hundred eighty-nine billion, three hundred seven million, two hundred forty-six thousand, four hundred".