12424421440 has 112 divisors (see below), whose sum is σ = 31840377264. Its totient is φ = 4600627200.

The previous prime is 12424421431. The next prime is 12424421441. The reversal of 12424421440 is 4412442421.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 531210304 + 11893211136 = 23048^2 + 109056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12424421399 and 12424421408.

It is not an unprimeable number, because it can be changed into a prime (12424421441) 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, 313120 + ... + 350560.

Almost surely, 2^12424421440 is an apocalyptic number.

12424421440 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 12424421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15920188632).

12424421440 is an abundant number, since it is smaller than the sum of its proper divisors (19415955824).

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

12424421440 is a wasteful number, since it uses less digits than its factorization.

12424421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37536 (or 37526 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 12424421440 its reverse (4412442421), we get a palindrome (16836863861).

The spelling of 12424421440 in words is "twelve billion, four hundred twenty-four million, four hundred twenty-one thousand, four hundred forty".