128128519794240 has 1792 divisors, whose sum is σ = 560181629952000. Its totient is φ = 26915420897280.

The previous prime is 128128519794229. The next prime is 128128519794257. The reversal of 128128519794240 is 42497915821821.

128128519794240 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 2 + 8 + 519 + 7 + 94 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8433384084 + ... + 8433399276.

It is an arithmetic number, because the mean of its divisors is an integer number (312601356000).

Almost surely, 2^{128128519794240} is an apocalyptic number.

128128519794240 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 128128519794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280090814976000).

128128519794240 is an abundant number, since it is smaller than the sum of its proper divisors (432053110157760).

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

128128519794240 is a wasteful number, since it uses less digits than its factorization.

128128519794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15465 (or 15449 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 128128519794240 in words is "one hundred twenty-eight trillion, one hundred twenty-eight billion, five hundred nineteen million, seven hundred ninety-four thousand, two hundred forty".