1185441408 has 96 divisors (see below), whose sum is σ = 3429036000. Its totient is φ = 393085440.

The previous prime is 1185441391. The next prime is 1185441419. The reversal of 1185441408 is 8041445811.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226663 + ... + 231833.

It is an arithmetic number, because the mean of its divisors is an integer number (35719125).

Almost surely, 2^1185441408 is an apocalyptic number.

1185441408 is a gapful number since it is divisible by the number (18) 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 1185441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714518000).

1185441408 is an abundant number, since it is smaller than the sum of its proper divisors (2243594592).

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

1185441408 is a wasteful number, since it uses less digits than its factorization.

1185441408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5390 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 1185441408 is about 34430.2397319566. The cubic root of 1185441408 is about 1058.3436240524.

The spelling of 1185441408 in words is "one billion, one hundred eighty-five million, four hundred forty-one thousand, four hundred eight".