128798189447040 has 1536 divisors, whose sum is σ = 505186097270400. Its totient is φ = 30041387827200.

The previous prime is 128798189446999. The next prime is 128798189447063. The reversal of 128798189447040 is 40744981897821.

128798189447040 is a `hidden beast` number, since 1 + 2 + 8 + 79 + 8 + 1 + 89 + 4 + 470 + 4 + 0 = 666.

It is a Cunningham number, because it is equal to 11348929²-1.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 128798189447040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49140856930 + ... + 49140859550.

Almost surely, 2^{128798189447040} is an apocalyptic number.

128798189447040 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 128798189447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252593048635200).

128798189447040 is an abundant number, since it is smaller than the sum of its proper divisors (376387907823360).

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

128798189447040 is a wasteful number, since it uses less digits than its factorization.

128798189447040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 128798189447040 in words is "one hundred twenty-eight trillion, seven hundred ninety-eight billion, one hundred eighty-nine million, four hundred forty-seven thousand, forty".