1004241024 has 128 divisors (see below), whose sum is σ = 3008836800. Its totient is φ = 329674752.

The previous prime is 1004241011. The next prime is 1004241031. The reversal of 1004241024 is 4201424001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1004240988 and 1004241006.

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, 229384 + ... + 233720.

Almost surely, 2^1004241024 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 1004241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504418400).

1004241024 is an abundant number, since it is smaller than the sum of its proper divisors (2004595776).

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

1004241024 is an equidigital number, since it uses as much as digits as its factorization.

1004241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1004241024 is about 31689.7621322723. The cubic root of 1004241024 is about 1001.4116808860.

Adding to 1004241024 its reverse (4201424001), we get a palindrome (5205665025).

The spelling of 1004241024 in words is "one billion, four million, two hundred forty-one thousand, twenty-four".