1224040314 has 64 divisors (see below), whose sum is σ = 2856268800. Its totient is φ = 342465408.

The previous prime is 1224040283. The next prime is 1224040319. The reversal of 1224040314 is 4130404221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1224040319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759942 + ... + 761550.

It is an arithmetic number, because the mean of its divisors is an integer number (44629200).

Almost surely, 2^1224040314 is an apocalyptic number.

1224040314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224040314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428134400).

1224040314 is an abundant number, since it is smaller than the sum of its proper divisors (1632228486).

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

1224040314 is a wasteful number, since it uses less digits than its factorization.

1224040314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1224040314 is about 34986.2875138246. The cubic root of 1224040314 is about 1069.7079920554.

Adding to 1224040314 its reverse (4130404221), we get a palindrome (5354444535).

The spelling of 1224040314 in words is "one billion, two hundred twenty-four million, forty thousand, three hundred fourteen".