1163665440 has 480 divisors, whose sum is σ = 4777242624. Its totient is φ = 261273600.

The previous prime is 1163665423. The next prime is 1163665493. The reversal of 1163665440 is 445663611.

It is a happy number.

1163665440 is a `hidden beast` number, since 11 + 636 + 6 + 5 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 1163665395 and 1163665404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9162657 + ... + 9162783.

Almost surely, 2^1163665440 is an apocalyptic number.

1163665440 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 1163665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388621312).

1163665440 is an abundant number, since it is smaller than the sum of its proper divisors (3613577184).

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

1163665440 is a wasteful number, since it uses less digits than its factorization.

1163665440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1163665440 is about 34112.5408024674. The cubic root of 1163665440 is about 1051.8231183958.

The spelling of 1163665440 in words is "one billion, one hundred sixty-three million, six hundred sixty-five thousand, four hundred forty".