128243083931424 has 768 divisors, whose sum is σ = 489528905564160. Its totient is φ = 31670784414720.

The previous prime is 128243083931387. The next prime is 128243083931437. The reversal of 128243083931424 is 424139380342821.

128243083931424 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 430 + 83 + 93 + 1 + 42 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 255283117 + ... + 255784979.

It is an arithmetic number, because the mean of its divisors is an integer number (637407429120).

Almost surely, 2^{128243083931424} is an apocalyptic number.

128243083931424 is a gapful number since it is divisible by the number (14) 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 128243083931424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244764452782080).

128243083931424 is an abundant number, since it is smaller than the sum of its proper divisors (361285821632736).

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

128243083931424 is a wasteful number, since it uses less digits than its factorization.

128243083931424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502090 (or 502076 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 128243083931424 in words is "one hundred twenty-eight trillion, two hundred forty-three billion, eighty-three million, nine hundred thirty-one thousand, four hundred twenty-four".