1041184144 has 240 divisors, whose sum is σ = 2842693056. Its totient is φ = 362880000.

The previous prime is 1041184127. The next prime is 1041184153. The reversal of 1041184144 is 4414811401.

1041184144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4148019 + ... + 4148269.

It is a self-describing number.

Almost surely, 2^1041184144 is an apocalyptic number.

1041184144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1041184144 is the 17248-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041184144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421346528).

1041184144 is an abundant number, since it is smaller than the sum of its proper divisors (1801508912).

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

1041184144 is a wasteful number, since it uses less digits than its factorization.

1041184144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 1041184144 is about 32267.3851435160. The cubic root of 1041184144 is about 1013.5437857370.

Adding to 1041184144 its reverse (4414811401), we get a palindrome (5455995545).

The spelling of 1041184144 in words is "one billion, forty-one million, one hundred eighty-four thousand, one hundred forty-four".