128009004480 has 1120 divisors, whose sum is σ = 563373398016. Its totient is φ = 26921631744.

The previous prime is 128009004479. The next prime is 128009004491. The reversal of 128009004480 is 84400900821.

128009004480 is a `hidden beast` number, since 12 + 80 + 0 + 90 + 0 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 159 ways as a sum of consecutive naturals, for example, 144970119 + ... + 144971001.

Almost surely, 2^128009004480 is an apocalyptic number.

128009004480 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 128009004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281686699008).

128009004480 is an abundant number, since it is smaller than the sum of its proper divisors (435364393536).

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

128009004480 is a wasteful number, since it uses less digits than its factorization.

128009004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 128009004480 in words is "one hundred twenty-eight billion, nine million, four thousand, four hundred eighty".