10004312024 has 64 divisors (see below), whose sum is σ = 22408151040. Its totient is φ = 4094133120.

The previous prime is 10004312023. The next prime is 10004312039. The reversal of 10004312024 is 42021340001.

It is a junction number, because it is equal to n+sod(n) for n = 10004311993 and 10004312011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004312023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 783209 + ... + 795879.

It is an arithmetic number, because the mean of its divisors is an integer number (350127360).

Almost surely, 2^10004312024 is an apocalyptic number.

10004312024 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 10004312024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11204075520).

10004312024 is an abundant number, since it is smaller than the sum of its proper divisors (12403839016).

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

10004312024 is a wasteful number, since it uses less digits than its factorization.

10004312024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13320 (or 13316 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10004312024 its reverse (42021340001), we get a palindrome (52025652025).

The spelling of 10004312024 in words is "ten billion, four million, three hundred twelve thousand, twenty-four".