1180045440 has 576 divisors, whose sum is σ = 4911318360. Its totient is φ = 260112384.

The previous prime is 1180045379. The next prime is 1180045457. The reversal of 1180045440 is 445400811.

It is a happy number.

1180045440 is a `hidden beast` number, since 1 + 180 + 0 + 45 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 844716096 + 335329344 = 29064^2 + 18312^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10442824 + ... + 10442936.

Almost surely, 2^1180045440 is an apocalyptic number.

1180045440 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 1180045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455659180).

1180045440 is an abundant number, since it is smaller than the sum of its proper divisors (3731272920).

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

1180045440 is a wasteful number, since it uses less digits than its factorization.

1180045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1180045440 is about 34351.7894730391. The cubic root of 1180045440 is about 1056.7353693329.

The spelling of 1180045440 in words is "one billion, one hundred eighty million, forty-five thousand, four hundred forty".