128441022248448 has 960 divisors, whose sum is σ = 475810244861952. Its totient is φ = 32443552235520.

The previous prime is 128441022248447. The next prime is 128441022248459. The reversal of 128441022248448 is 844842220144821.

128441022248448 is a `hidden beast` number, since 1 + 2 + 84 + 41 + 0 + 2 + 2 + 2 + 484 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 128441022248394 and 128441022248403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128441022248447) 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, 1260868365 + ... + 1260970227.

Almost surely, 2^{128441022248448} is an apocalyptic number.

128441022248448 is a gapful number since it is divisible by the number (18) 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 128441022248448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237905122430976).

128441022248448 is an abundant number, since it is smaller than the sum of its proper divisors (347369222613504).

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

128441022248448 is a wasteful number, since it uses less digits than its factorization.

128441022248448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102035 (or 102016 counting only the distinct ones).

The product of its (nonzero) digits is 8388608, while the sum is 54.

The spelling of 128441022248448 in words is "one hundred twenty-eight trillion, four hundred forty-one billion, twenty-two million, two hundred forty-eight thousand, four hundred forty-eight".