10004452920 has 384 divisors, whose sum is σ = 40928509440. Its totient is φ = 2058808320.

The previous prime is 10004452919. The next prime is 10004452979. The reversal of 10004452920 is 2925440001.

10004452920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2964354 + ... + 2967726.

It is an arithmetic number, because the mean of its divisors is an integer number (106584660).

Almost surely, 2^10004452920 is an apocalyptic number.

10004452920 is a gapful number since it is divisible by the number (10) 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 10004452920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20464254720).

10004452920 is an abundant number, since it is smaller than the sum of its proper divisors (30924056520).

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

10004452920 is a wasteful number, since it uses less digits than its factorization.

10004452920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10004452920 its reverse (2925440001), we get a palindrome (12929892921).

The spelling of 10004452920 in words is "ten billion, four million, four hundred fifty-two thousand, nine hundred twenty".