128403006449760 has 1152 divisors, whose sum is σ = 532740725637120. Its totient is φ = 27509727264768.

The previous prime is 128403006449747. The next prime is 128403006449761. The reversal of 128403006449760 is 67944600304821.

128403006449760 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 0 + 30 + 0 + 64 + 497 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 128403006449697 and 128403006449706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128403006449761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9072486844 + ... + 9072500996.

It is an arithmetic number, because the mean of its divisors is an integer number (462448546560).

Almost surely, 2^{128403006449760} is an apocalyptic number.

128403006449760 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 128403006449760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266370362818560).

128403006449760 is an abundant number, since it is smaller than the sum of its proper divisors (404337719187360).

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

128403006449760 is a wasteful number, since it uses less digits than its factorization.

128403006449760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14700 (or 14689 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 128403006449760 in words is "one hundred twenty-eight trillion, four hundred three billion, six million, four hundred forty-nine thousand, seven hundred sixty".