10004433320 has 128 divisors (see below), whose sum is σ = 26529085440. Its totient is φ = 3324222720.

The previous prime is 10004433319. The next prime is 10004433379. The reversal of 10004433320 is 2333440001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10004433292 and 10004433301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1574069 + ... + 1580411.

It is an arithmetic number, because the mean of its divisors is an integer number (207258480).

Almost surely, 2^10004433320 is an apocalyptic number.

10004433320 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 10004433320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13264542720).

10004433320 is an abundant number, since it is smaller than the sum of its proper divisors (16524652120).

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

10004433320 is a wasteful number, since it uses less digits than its factorization.

10004433320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6535 (or 6531 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 10004433320 its reverse (2333440001), we get a palindrome (12337873321).

The spelling of 10004433320 in words is "ten billion, four million, four hundred thirty-three thousand, three hundred twenty".