1188055440 has 360 divisors, whose sum is σ = 4727431800. Its totient is φ = 265605120.

The previous prime is 1188055433. The next prime is 1188055507. The reversal of 1188055440 is 445508811.

It can be written as a sum of positive squares in 4 ways, for example, as 150700176 + 1037355264 = 12276^2 + 32208^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1188055440² = 2822951457027187200, which contains 22 as substring.

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 = 1188055395 and 1188055404.

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 71 ways as a sum of consecutive naturals, for example, 1132036 + ... + 1133084.

It is an arithmetic number, because the mean of its divisors is an integer number (13131755).

Almost surely, 2^1188055440 is an apocalyptic number.

1188055440 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 1188055440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363715900).

1188055440 is an abundant number, since it is smaller than the sum of its proper divisors (3539376360).

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

1188055440 is a wasteful number, since it uses less digits than its factorization.

1188055440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 1188055440 is about 34468.1801086161. The cubic root of 1188055440 is about 1059.1209753004.

The spelling of 1188055440 in words is "one billion, one hundred eighty-eight million, fifty-five thousand, four hundred forty".