10004401220 has 96 divisors (see below), whose sum is σ = 23703321600. Its totient is φ = 3513945600.

The previous prime is 10004401217. The next prime is 10004401249. The reversal of 10004401220 is 2210440001.

It is a junction number, because it is equal to n+sod(n) for n = 10004401195 and 10004401204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4834346 + ... + 4836414.

It is an arithmetic number, because the mean of its divisors is an integer number (246909600).

Almost surely, 2^10004401220 is an apocalyptic number.

10004401220 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 10004401220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11851660800).

10004401220 is an abundant number, since it is smaller than the sum of its proper divisors (13698920380).

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

10004401220 is a wasteful number, since it uses less digits than its factorization.

10004401220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10004401220 its reverse (2210440001), we get a palindrome (12214841221).

The spelling of 10004401220 in words is "ten billion, four million, four hundred one thousand, two hundred twenty".