10416224000 has 576 divisors, whose sum is σ = 33034310400. Its totient is φ = 3251404800.

The previous prime is 10416223991. The next prime is 10416224011. The reversal of 10416224000 is 42261401.

10416224000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 142687964 + ... + 142688036.

Almost surely, 2^10416224000 is an apocalyptic number.

10416224000 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 10416224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16517155200).

10416224000 is an abundant number, since it is smaller than the sum of its proper divisors (22618086400).

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

10416224000 is an frugal number, since it uses more digits than its factorization.

10416224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10416224000 its reverse (42261401), we get a palindrome (10458485401).

The spelling of 10416224000 in words is "ten billion, four hundred sixteen million, two hundred twenty-four thousand".