10224410424 has 128 divisors (see below), whose sum is σ = 26634484800. Its totient is φ = 3268362240.

The previous prime is 10224410423. The next prime is 10224410431. The reversal of 10224410424 is 42401442201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10224410394 and 10224410403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10224410423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27411102 + ... + 27411474.

Almost surely, 2^10224410424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10224410424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13317242400).

10224410424 is an abundant number, since it is smaller than the sum of its proper divisors (16410074376).

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

10224410424 is a wasteful number, since it uses less digits than its factorization.

10224410424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10224410424 its reverse (42401442201), we get a palindrome (52625852625).

The spelling of 10224410424 in words is "ten billion, two hundred twenty-four million, four hundred ten thousand, four hundred twenty-four".