128140486729920 has 2688 divisors, whose sum is σ = 577810354867200. Its totient is φ = 26556545433600.

The previous prime is 128140486729861. The next prime is 128140486729921. The reversal of 128140486729920 is 29927684041821.

128140486729920 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 40 + 486 + 7 + 2 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (128140486729921) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17479260655 + ... + 17479267985.

It is an arithmetic number, because the mean of its divisors is an integer number (214959209400).

Almost surely, 2^{128140486729920} is an apocalyptic number.

128140486729920 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 128140486729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288905177433600).

128140486729920 is an abundant number, since it is smaller than the sum of its proper divisors (449669868137280).

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

128140486729920 is a wasteful number, since it uses less digits than its factorization.

128140486729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7484 (or 7461 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 128140486729920 in words is "one hundred twenty-eight trillion, one hundred forty billion, four hundred eighty-six million, seven hundred twenty-nine thousand, nine hundred twenty".