128269120831440 has 160 divisors (see below), whose sum is σ = 403221538836480. Its totient is φ = 33725665239552.

The previous prime is 128269120831409. The next prime is 128269120831441. The reversal of 128269120831440 is 44138021962821.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128269120831441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9131067 + ... + 18436773.

It is an arithmetic number, because the mean of its divisors is an integer number (2520134617728).

Almost surely, 2^{128269120831440} is an apocalyptic number.

128269120831440 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 128269120831440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201610769418240).

128269120831440 is an abundant number, since it is smaller than the sum of its proper divisors (274952418005040).

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

128269120831440 is a wasteful number, since it uses less digits than its factorization.

128269120831440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9306529 (or 9306523 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 128269120831440 in words is "one hundred twenty-eight trillion, two hundred sixty-nine billion, one hundred twenty million, eight hundred thirty-one thousand, four hundred forty".