1181405182128 has 160 divisors (see below), whose sum is σ = 3223449043200. Its totient is φ = 371816985600.

The previous prime is 1181405182127. The next prime is 1181405182157. The reversal of 1181405182128 is 8212815041811.

It is a self number, because there is not a number n which added to its sum of digits gives 1181405182128.

It is not an unprimeable number, because it can be changed into a prime (1181405182127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450744658 + ... + 450747278.

It is an arithmetic number, because the mean of its divisors is an integer number (20146556520).

Almost surely, 2^{1181405182128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1181405182128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611724521600).

1181405182128 is an abundant number, since it is smaller than the sum of its proper divisors (2042043861072).

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

1181405182128 is a wasteful number, since it uses less digits than its factorization.

1181405182128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 42.

The spelling of 1181405182128 in words is "one trillion, one hundred eighty-one billion, four hundred five million, one hundred eighty-two thousand, one hundred twenty-eight".