128445004800 has 660 divisors, whose sum is σ = 543623427600. Its totient is φ = 29355540480.

The previous prime is 128445004759. The next prime is 128445004801. The reversal of 128445004800 is 8400544821.

128445004800 is a `hidden beast` number, since 128 + 4 + 4 + 50 + 0 + 480 + 0 = 666.

128445004800 is digitally balanced in base 3, 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128445004801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14510776 + ... + 14519624.

It is an arithmetic number, because the mean of its divisors is an integer number (823671860).

Almost surely, 2^128445004800 is an apocalyptic number.

128445004800 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 128445004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271811713800).

128445004800 is an abundant number, since it is smaller than the sum of its proper divisors (415178422800).

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

128445004800 is an equidigital number, since it uses as much as digits as its factorization.

128445004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8898 (or 8866 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 128445004800 in words is "one hundred twenty-eight billion, four hundred forty-five million, four thousand, eight hundred".