1224124440 has 256 divisors, whose sum is σ = 4848491520. Its totient is φ = 239370240.

The previous prime is 1224124399. The next prime is 1224124459. The reversal of 1224124440 is 444214221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1224124440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153184 + ... + 160976.

It is an arithmetic number, because the mean of its divisors is an integer number (18939420).

Almost surely, 2^1224124440 is an apocalyptic number.

1224124440 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 1224124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424245760).

1224124440 is an abundant number, since it is smaller than the sum of its proper divisors (3624367080).

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

1224124440 is a wasteful number, since it uses less digits than its factorization.

1224124440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7842 (or 7838 counting only the distinct ones).

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

The square root of 1224124440 is about 34987.4897642000. The cubic root of 1224124440 is about 1069.7324978367.

Adding to 1224124440 its reverse (444214221), we get a palindrome (1668338661).

The spelling of 1224124440 in words is "one billion, two hundred twenty-four million, one hundred twenty-four thousand, four hundred forty".