128908472663040 has 2816 divisors, whose sum is σ = 531667674464256. Its totient is φ = 25981511270400.

The previous prime is 128908472663039. The next prime is 128908472663161. The reversal of 128908472663040 is 40366274809821.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 465373547382 + ... + 465373547658.

It is an arithmetic number, because the mean of its divisors is an integer number (188802441216).

Almost surely, 2^{128908472663040} is an apocalyptic number.

128908472663040 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 128908472663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265833837232128).

128908472663040 is an abundant number, since it is smaller than the sum of its proper divisors (402759201801216).

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

128908472663040 is a wasteful number, since it uses less digits than its factorization.

128908472663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 128908472663040 in words is "one hundred twenty-eight trillion, nine hundred eight billion, four hundred seventy-two million, six hundred sixty-three thousand, forty".