128109744000 has 768 divisors, whose sum is σ = 533307864960. Its totient is φ = 28864512000.

The previous prime is 128109743969. The next prime is 128109744019. The reversal of 128109744000 is 447901821.

128109744000 is a `hidden beast` number, since 128 + 1 + 0 + 97 + 440 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73583130 + ... + 73584870.

Almost surely, 2^128109744000 is an apocalyptic number.

128109744000 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 128109744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266653932480).

128109744000 is an abundant number, since it is smaller than the sum of its proper divisors (405198120960).

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

128109744000 is a wasteful number, since it uses less digits than its factorization.

128109744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 128109744000 in words is "one hundred twenty-eight billion, one hundred nine million, seven hundred forty-four thousand".