1104166440 has 192 divisors, whose sum is σ = 3920192640. Its totient is φ = 267886080.

The previous prime is 1104166421. The next prime is 1104166447. The reversal of 1104166440 is 446614011.

1104166440 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 16 + 644 + 0 = 666.

It is a Cunningham number, because it is equal to 33229²-1.

It is not an unprimeable number, because it can be changed into a prime (1104166447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330619 + ... + 333941.

It is an arithmetic number, because the mean of its divisors is an integer number (20417670).

Almost surely, 2^1104166440 is an apocalyptic number.

1104166440 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 1104166440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960096320).

1104166440 is an abundant number, since it is smaller than the sum of its proper divisors (2816026200).

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

1104166440 is a wasteful number, since it uses less digits than its factorization.

1104166440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1104166440 is about 33228.9999849529. Note that the first 4 decimals coincide. The cubic root of 1104166440 is about 1033.5817864825.

The spelling of 1104166440 in words is "one billion, one hundred four million, one hundred sixty-six thousand, four hundred forty".