128008071040 has 64 divisors (see below), whose sum is σ = 306236525760. Its totient is φ = 51166881792.

The previous prime is 128008071001. The next prime is 128008071041. The reversal of 128008071040 is 40170800821.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×128008071040⁴ (a number of 46 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 128008070993 and 128008071011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128008071041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 840442 + ... + 980998.

It is an arithmetic number, because the mean of its divisors is an integer number (4784945715).

Almost surely, 2^128008071040 is an apocalyptic number.

128008071040 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 128008071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153118262880).

128008071040 is an abundant number, since it is smaller than the sum of its proper divisors (178228454720).

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

128008071040 is a wasteful number, since it uses less digits than its factorization.

128008071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141999 (or 141987 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

Adding to 128008071040 its reverse (40170800821), we get a palindrome (168178871861).

The spelling of 128008071040 in words is "one hundred twenty-eight billion, eight million, seventy-one thousand, forty".