128930689440 has 576 divisors, whose sum is σ = 552577334400. Its totient is φ = 27917955072.

The previous prime is 128930689439. The next prime is 128930689441. The reversal of 128930689440 is 44986039821.

128930689440 is a `hidden beast` number, since 12 + 89 + 30 + 6 + 89 + 440 = 666.

128930689440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (128930689439) and next prime (128930689441).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (128930689441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4005892 + ... + 4037948.

It is an arithmetic number, because the mean of its divisors is an integer number (959335650).

Almost surely, 2^128930689440 is an apocalyptic number.

128930689440 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 128930689440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276288667200).

128930689440 is an abundant number, since it is smaller than the sum of its proper divisors (423646644960).

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

128930689440 is a wasteful number, since it uses less digits than its factorization.

128930689440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32114 (or 32093 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 128930689440 in words is "one hundred twenty-eight billion, nine hundred thirty million, six hundred eighty-nine thousand, four hundred forty".