1128179404800 has 2184 divisors, whose sum is σ = 5115537156096. Its totient is φ = 240789749760.

The previous prime is 1128179404799. The next prime is 1128179404823. The reversal of 1128179404800 is 84049718211.

1128179404800 is a `hidden beast` number, since 1 + 1 + 2 + 81 + 7 + 94 + 0 + 480 + 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 167 ways as a sum of consecutive naturals, for example, 8883302337 + ... + 8883302463.

Almost surely, 2^{1128179404800} is an apocalyptic number.

1128179404800 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 1128179404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557768578048).

1128179404800 is an abundant number, since it is smaller than the sum of its proper divisors (3987357751296).

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

1128179404800 is an equidigital number, since it uses as much as digits as its factorization.

1128179404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 1128179404800 in words is "one trillion, one hundred twenty-eight billion, one hundred seventy-nine million, four hundred four thousand, eight hundred".