10004420000 has 240 divisors, whose sum is σ = 26073653760. Its totient is φ = 3771264000.

The previous prime is 10004419993. The next prime is 10004420003. The reversal of 10004420000 is 2440001.

It is not an unprimeable number, because it can be changed into a prime (10004420003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27259817 + ... + 27260183.

It is an arithmetic number, because the mean of its divisors is an integer number (108640224).

Almost surely, 2^10004420000 is an apocalyptic number.

10004420000 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 10004420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13036826880).

10004420000 is an abundant number, since it is smaller than the sum of its proper divisors (16069233760).

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

10004420000 is an equidigital number, since it uses as much as digits as its factorization.

10004420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 10004420000 its reverse (2440001), we get a palindrome (10006860001).

The spelling of 10004420000 in words is "ten billion, four million, four hundred twenty thousand".