10004400030 has 128 divisors (see below), whose sum is σ = 26062041600. Its totient is φ = 2449211904.

The previous prime is 10004400017. The next prime is 10004400031. The reversal of 10004400030 is 3000440001.

10004400030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10004399979 and 10004400015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004400031) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6178561 + ... + 6180179.

It is an arithmetic number, because the mean of its divisors is an integer number (203609700).

Almost surely, 2^10004400030 is an apocalyptic number.

10004400030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004400030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13031020800).

10004400030 is an abundant number, since it is smaller than the sum of its proper divisors (16057641570).

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

10004400030 is a wasteful number, since it uses less digits than its factorization.

10004400030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978.

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10004400030 its reverse (3000440001), we get a palindrome (13004840031).

The spelling of 10004400030 in words is "ten billion, four million, four hundred thousand, thirty".