128271306240 has 1440 divisors, whose sum is σ = 584444155680. Its totient is φ = 26568622080.

The previous prime is 128271306223. The next prime is 128271306271. The reversal of 128271306240 is 42603172821.

It is a happy number.

128271306240 is a `hidden beast` number, since 1 + 2 + 8 + 27 + 1 + 3 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 128271306195 and 128271306204.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 409812324 + ... + 409812636.

It is an arithmetic number, because the mean of its divisors is an integer number (405863997).

Almost surely, 2^128271306240 is an apocalyptic number.

128271306240 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 128271306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292222077840).

128271306240 is an abundant number, since it is smaller than the sum of its proper divisors (456172849440).

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

128271306240 is a wasteful number, since it uses less digits than its factorization.

128271306240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 128271306240 in words is "one hundred twenty-eight billion, two hundred seventy-one million, three hundred six thousand, two hundred forty".