10004413824 has 384 divisors, whose sum is σ = 31569408000. Its totient is φ = 3030773760.

The previous prime is 10004413819. The next prime is 10004413871. The reversal of 10004413824 is 42831440001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78774849 + ... + 78774975.

It is an arithmetic number, because the mean of its divisors is an integer number (82212000).

Almost surely, 2^10004413824 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 10004413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15784704000).

10004413824 is an abundant number, since it is smaller than the sum of its proper divisors (21564994176).

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

10004413824 is a wasteful number, since it uses less digits than its factorization.

10004413824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10004413824 its reverse (42831440001), we get a palindrome (52835853825).

The spelling of 10004413824 in words is "ten billion, four million, four hundred thirteen thousand, eight hundred twenty-four".