1185481440 has 768 divisors, whose sum is σ = 5181926400. Its totient is φ = 248832000.

The previous prime is 1185481403. The next prime is 1185481457. The reversal of 1185481440 is 441845811.

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

It is a junction number, because it is equal to n+sod(n) for n = 1185481395 and 1185481404.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 11737390 + ... + 11737490.

It is an arithmetic number, because the mean of its divisors is an integer number (6747300).

Almost surely, 2^1185481440 is an apocalyptic number.

1185481440 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 1185481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590963200).

1185481440 is an abundant number, since it is smaller than the sum of its proper divisors (3996444960).

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

1185481440 is a wasteful number, since it uses less digits than its factorization.

1185481440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

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

The square root of 1185481440 is about 34430.8210764716. The cubic root of 1185481440 is about 1058.3555372337.

It can be divided in two parts, 1185481 and 440, that added together give a 4-th power (1185921 = 33⁴).

The spelling of 1185481440 in words is "one billion, one hundred eighty-five million, four hundred eighty-one thousand, four hundred forty".