1041168384 has 192 divisors, whose sum is σ = 3249792000. Its totient is φ = 328458240.

The previous prime is 1041168361. The next prime is 1041168407. The reversal of 1041168384 is 4838611401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1041168361) and next prime (1041168407).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1050129 + ... + 1051119.

It is an arithmetic number, because the mean of its divisors is an integer number (16926000).

Almost surely, 2^1041168384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041168384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624896000).

1041168384 is an abundant number, since it is smaller than the sum of its proper divisors (2208623616).

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

1041168384 is an equidigital number, since it uses as much as digits as its factorization.

1041168384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1041168384 is about 32267.1409331537. The cubic root of 1041168384 is about 1013.5386718384.

Adding to 1041168384 its reverse (4838611401), we get a palindrome (5879779785).

The spelling of 1041168384 in words is "one billion, forty-one million, one hundred sixty-eight thousand, three hundred eighty-four".