10224232424240 has 160 divisors (see below), whose sum is σ = 25488158367744. Its totient is φ = 3800702545920.

The previous prime is 10224232424221. The next prime is 10224232424249. The reversal of 10224232424240 is 4242423242201.

It is a junction number, because it is equal to n+sod(n) for n = 10224232424197 and 10224232424206.

It is not an unprimeable number, because it can be changed into a prime (10224232424249) 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, 36303647 + ... + 36584193.

Almost surely, 2^{10224232424240} is an apocalyptic number.

10224232424240 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 10224232424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12744079183872).

10224232424240 is an abundant number, since it is smaller than the sum of its proper divisors (15263925943504).

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

10224232424240 is a wasteful number, since it uses less digits than its factorization.

10224232424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280915 (or 280909 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 10224232424240 its reverse (4242423242201), we get a palindrome (14466655666441).

The spelling of 10224232424240 in words is "ten trillion, two hundred twenty-four billion, two hundred thirty-two million, four hundred twenty-four thousand, two hundred forty".