128833597440 has 520 divisors, whose sum is σ = 474543946800. Its totient is φ = 33411170304.

The previous prime is 128833597391. The next prime is 128833597463. The reversal of 128833597440 is 44795338821.

It is a happy number.

128833597440 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 3 + 3 + 597 + 4 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61377511 + ... + 61379609.

Almost surely, 2^128833597440 is an apocalyptic number.

128833597440 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 128833597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237271973400).

128833597440 is an abundant number, since it is smaller than the sum of its proper divisors (345710349360).

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

128833597440 is an equidigital number, since it uses as much as digits as its factorization.

128833597440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 128833597440 in words is "one hundred twenty-eight billion, eight hundred thirty-three million, five hundred ninety-seven thousand, four hundred forty".