10482210420 has 192 divisors, whose sum is σ = 33147297792. Its totient is φ = 2452032000.

The previous prime is 10482210413. The next prime is 10482210443. The reversal of 10482210420 is 2401228401.

10482210420 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 63 ways as a sum of consecutive naturals, for example, 11068387 + ... + 11069333.

It is an arithmetic number, because the mean of its divisors is an integer number (172642176).

Almost surely, 2^10482210420 is an apocalyptic number.

10482210420 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 10482210420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16573648896).

10482210420 is an abundant number, since it is smaller than the sum of its proper divisors (22665087372).

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

10482210420 is a wasteful number, since it uses less digits than its factorization.

10482210420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10482210420 its reverse (2401228401), we get a palindrome (12883438821).

The spelling of 10482210420 in words is "ten billion, four hundred eighty-two million, two hundred ten thousand, four hundred twenty".