1004320144 has 40 divisors (see below), whose sum is σ = 2031298560. Its totient is φ = 480480000.

The previous prime is 1004320129. The next prime is 1004320147. The reversal of 1004320144 is 4410234001.

It is not an unprimeable number, because it can be changed into a prime (1004320147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32769 + ... + 55519.

It is an arithmetic number, because the mean of its divisors is an integer number (50782464).

Almost surely, 2^1004320144 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 1004320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015649280).

1004320144 is an abundant number, since it is smaller than the sum of its proper divisors (1026978416).

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

1004320144 is a wasteful number, since it uses less digits than its factorization.

1004320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22879 (or 22873 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1004320144 is about 31691.0104603813. The cubic root of 1004320144 is about 1001.4379792246.

Adding to 1004320144 its reverse (4410234001), we get a palindrome (5414554145).

The spelling of 1004320144 in words is "one billion, four million, three hundred twenty thousand, one hundred forty-four".