1224144240 has 160 divisors (see below), whose sum is σ = 4181732352. Its totient is φ = 293760000.

The previous prime is 1224144239. The next prime is 1224144241. The reversal of 1224144240 is 424414221.

It is an interprime number because it is at equal distance from previous prime (1224144239) and next prime (1224144241).

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 1224144240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224144241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264345 + ... + 268935.

Almost surely, 2^1224144240 is an apocalyptic number.

1224144240 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 1224144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090866176).

1224144240 is an abundant number, since it is smaller than the sum of its proper divisors (2957588112).

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

1224144240 is a wasteful number, since it uses less digits than its factorization.

1224144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719 (or 4713 counting only the distinct ones).

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

The square root of 1224144240 is about 34987.7727213380. The cubic root of 1224144240 is about 1069.7382653847.

Adding to 1224144240 its reverse (424414221), we get a palindrome (1648558461).

The spelling of 1224144240 in words is "one billion, two hundred twenty-four million, one hundred forty-four thousand, two hundred forty".