128411249888376 has 640 divisors, whose sum is σ = 466276833792000. Its totient is φ = 32774206106880.

The previous prime is 128411249888357. The next prime is 128411249888381. The reversal of 128411249888376 is 673888942114821.

128411249888376 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 1 + 1 + 249 + 8 + 8 + 8 + 376 = 666.

128411249888376 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 88855591 + ... + 90289193.

It is an arithmetic number, because the mean of its divisors is an integer number (728557552800).

Almost surely, 2^{128411249888376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128411249888376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233138416896000).

128411249888376 is an abundant number, since it is smaller than the sum of its proper divisors (337865583903624).

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

128411249888376 is a wasteful number, since it uses less digits than its factorization.

128411249888376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433686 (or 1433659 counting only the distinct ones).

The product of its digits is 297271296, while the sum is 72.

The spelling of 128411249888376 in words is "one hundred twenty-eight trillion, four hundred eleven billion, two hundred forty-nine million, eight hundred eighty-eight thousand, three hundred seventy-six".