128304741600 has 864 divisors, whose sum is σ = 537002129664. Its totient is φ = 28217548800.

The previous prime is 128304741599. The next prime is 128304741611. The reversal of 128304741600 is 6147403821.

128304741600 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 0 + 4 + 7 + 41 + 600 = 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 143 ways as a sum of consecutive naturals, for example, 158205195 + ... + 158206005.

Almost surely, 2^128304741600 is an apocalyptic number.

128304741600 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 128304741600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268501064832).

128304741600 is an abundant number, since it is smaller than the sum of its proper divisors (408697388064).

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

128304741600 is a wasteful number, since it uses less digits than its factorization.

128304741600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 128304741600 in words is "one hundred twenty-eight billion, three hundred four million, seven hundred forty-one thousand, six hundred".