128169767040 has 512 divisors, whose sum is σ = 479059107840. Its totient is φ = 28539371520.

The previous prime is 128169767027. The next prime is 128169767053. The reversal of 128169767040 is 40767961821.

It is an interprime number because it is at equal distance from previous prime (128169767027) and next prime (128169767053).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 209085774 + ... + 209086386.

It is an arithmetic number, because the mean of its divisors is an integer number (935662320).

Almost surely, 2^128169767040 is an apocalyptic number.

128169767040 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 128169767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239529553920).

128169767040 is an abundant number, since it is smaller than the sum of its proper divisors (350889340800).

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

128169767040 is a wasteful number, since it uses less digits than its factorization.

128169767040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 128169767040 in words is "one hundred twenty-eight billion, one hundred sixty-nine million, seven hundred sixty-seven thousand, forty".