128814840000 has 1120 divisors, whose sum is σ = 590361024000. Its totient is φ = 26749440000.

The previous prime is 128814839983. The next prime is 128814840001. The reversal of 128814840000 is 48418821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (128814840001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 83159226 + ... + 83160774.

Almost surely, 2^128814840000 is an apocalyptic number.

128814840000 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 128814840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295180512000).

128814840000 is an abundant number, since it is smaller than the sum of its proper divisors (461546184000).

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

128814840000 is a wasteful number, since it uses less digits than its factorization.

128814840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 128814840000 in words is "one hundred twenty-eight billion, eight hundred fourteen million, eight hundred forty thousand".