10224351424 has 112 divisors (see below), whose sum is σ = 23749235712. Its totient is φ = 4276242432.

The previous prime is 10224351419. The next prime is 10224351427. The reversal of 10224351424 is 42415342201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10224351392 and 10224351401.

It is not an unprimeable number, because it can be changed into a prime (10224351427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12991159 + ... + 12991945.

Almost surely, 2^10224351424 is an apocalyptic number.

10224351424 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 10224351424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874617856).

10224351424 is an abundant number, since it is smaller than the sum of its proper divisors (13524884288).

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

10224351424 is an equidigital number, since it uses as much as digits as its factorization.

10224351424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 10224351424 its reverse (42415342201), we get a palindrome (52639693625).

The spelling of 10224351424 in words is "ten billion, two hundred twenty-four million, three hundred fifty-one thousand, four hundred twenty-four".