128003005040 has 80 divisors (see below), whose sum is σ = 301330713600. Its totient is φ = 50561131776.

The previous prime is 128003005021. The next prime is 128003005087. The reversal of 128003005040 is 40500300821.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 128003004997 and 128003005015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26019701 + ... + 26024619.

It is an arithmetic number, because the mean of its divisors is an integer number (3766633920).

Almost surely, 2^128003005040 is an apocalyptic number.

128003005040 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 128003005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150665356800).

128003005040 is an abundant number, since it is smaller than the sum of its proper divisors (173327708560).

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

128003005040 is a wasteful number, since it uses less digits than its factorization.

128003005040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8934 (or 8928 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 128003005040 its reverse (40500300821), we get a palindrome (168503305861).

The spelling of 128003005040 in words is "one hundred twenty-eight billion, three million, five thousand, forty".