1041144192 has 384 divisors, whose sum is σ = 3608841600. Its totient is φ = 295280640.

The previous prime is 1041144191. The next prime is 1041144199. The reversal of 1041144192 is 2914411401.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041144191) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5816359 + ... + 5816537.

It is an arithmetic number, because the mean of its divisors is an integer number (9398025).

Almost surely, 2^1041144192 is an apocalyptic number.

1041144192 is a gapful number since it is divisible by the number (12) 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 1041144192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804420800).

1041144192 is an abundant number, since it is smaller than the sum of its proper divisors (2567697408).

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

1041144192 is a wasteful number, since it uses less digits than its factorization.

1041144192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1041144192 is about 32266.7660604530. The cubic root of 1041144192 is about 1013.5308217737.

Adding to 1041144192 its reverse (2914411401), we get a palindrome (3955555593).

The spelling of 1041144192 in words is "one billion, forty-one million, one hundred forty-four thousand, one hundred ninety-two".