1004104433024 has 192 divisors, whose sum is σ = 2526786880800. Its totient is φ = 389040537600.

The previous prime is 1004104432957. The next prime is 1004104433069. The reversal of 1004104433024 is 4203344014001.

It is a junction number, because it is equal to n+sod(n) for n = 1004104432984 and 1004104433002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19597712 + ... + 19648880.

Almost surely, 2^{1004104433024} is an apocalyptic number.

1004104433024 is a gapful number since it is divisible by the number (14) 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 1004104433024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263393440400).

1004104433024 is an abundant number, since it is smaller than the sum of its proper divisors (1522682447776).

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

1004104433024 is a wasteful number, since it uses less digits than its factorization.

1004104433024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51393 (or 51370 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 1004104433024 its reverse (4203344014001), we get a palindrome (5207448447025).

The spelling of 1004104433024 in words is "one trillion, four billion, one hundred four million, four hundred thirty-three thousand, twenty-four".