128434082238000 has 3840 divisors, whose sum is σ = 606296111136768. Its totient is φ = 24524881920000.

The previous prime is 128434082237987. The next prime is 128434082238067. The reversal of 128434082238000 is 832280434821.

128434082238000 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 3 + 408 + 2 + 238 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 277395425769 + ... + 277395426231.

Almost surely, 2^{128434082238000} is an apocalyptic number.

128434082238000 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 128434082238000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303148055568384).

128434082238000 is an abundant number, since it is smaller than the sum of its proper divisors (477862028898768).

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

128434082238000 is a wasteful number, since it uses less digits than its factorization.

128434082238000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 128434082238000 in words is "one hundred twenty-eight trillion, four hundred thirty-four billion, eighty-two million, two hundred thirty-eight thousand".