10424413104224 has 144 divisors (see below), whose sum is σ = 24190353794880. Its totient is φ = 4408428810240.

The previous prime is 10424413104199. The next prime is 10424413104293. The reversal of 10424413104224 is 42240131442401.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215636984 + ... + 215685320.

It is an arithmetic number, because the mean of its divisors is an integer number (167988568020).

Almost surely, 2^{10424413104224} is an apocalyptic number.

10424413104224 is a gapful number since it is divisible by the number (14) 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 10424413104224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12095176897440).

10424413104224 is an abundant number, since it is smaller than the sum of its proper divisors (13765940690656).

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

10424413104224 is a wasteful number, since it uses less digits than its factorization.

10424413104224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50181 (or 50166 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 10424413104224 its reverse (42240131442401), we get a palindrome (52664544546625).

The spelling of 10424413104224 in words is "ten trillion, four hundred twenty-four billion, four hundred thirteen million, one hundred four thousand, two hundred twenty-four".