1004412444024 has 128 divisors (see below), whose sum is σ = 2748792360960. Its totient is φ = 303315120000.

The previous prime is 1004412443939. The next prime is 1004412444041. The reversal of 1004412444024 is 4204442144001.

It is a junction number, because it is equal to n+sod(n) for n = 1004412443982 and 1004412444000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110479719 + ... + 110488809.

It is an arithmetic number, because the mean of its divisors is an integer number (21474940320).

Almost surely, 2^{1004412444024} 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 1004412444024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374396180480).

1004412444024 is an abundant number, since it is smaller than the sum of its proper divisors (1744379916936).

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

1004412444024 is a wasteful number, since it uses less digits than its factorization.

1004412444024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10513 (or 10509 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 1004412444024 its reverse (4204442144001), we get a palindrome (5208854588025).

The spelling of 1004412444024 in words is "one trillion, four billion, four hundred twelve million, four hundred forty-four thousand, twenty-four".