128041032240 has 480 divisors, whose sum is σ = 479502167040. Its totient is φ = 30359347200.

The previous prime is 128041032211. The next prime is 128041032241. The reversal of 128041032240 is 42230140821.

128041032240 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 410 + 3 + 2 + 240 = 666.

It is not an unprimeable number, because it can be changed into a prime (128041032241) 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, 70700935 + ... + 70702745.

It is an arithmetic number, because the mean of its divisors is an integer number (998962848).

Almost surely, 2^128041032240 is an apocalyptic number.

128041032240 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 128041032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239751083520).

128041032240 is an abundant number, since it is smaller than the sum of its proper divisors (351461134800).

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

128041032240 is a wasteful number, since it uses less digits than its factorization.

128041032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 128041032240 in words is "one hundred twenty-eight billion, forty-one million, thirty-two thousand, two hundred forty".