10421222184828 has 1728 divisors, whose sum is σ = 36585459630720. Its totient is φ = 2472693350400.

The previous prime is 10421222184817. The next prime is 10421222184847. The reversal of 10421222184828 is 82848122212401.

10421222184828 is a `hidden beast` number, since 1 + 0 + 42 + 122 + 2 + 1 + 8 + 482 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 79551314323 + ... + 79551314453.

It is an arithmetic number, because the mean of its divisors is an integer number (21172140990).

Almost surely, 2^{10421222184828} is an apocalyptic number.

10421222184828 is a gapful number since it is divisible by the number (18) 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 10421222184828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18292729815360).

10421222184828 is an abundant number, since it is smaller than the sum of its proper divisors (26164237445892).

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

10421222184828 is a wasteful number, since it uses less digits than its factorization.

10421222184828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 10421222184828 in words is "ten trillion, four hundred twenty-one billion, two hundred twenty-two million, one hundred eighty-four thousand, eight hundred twenty-eight".