1224414340240 has 240 divisors, whose sum is σ = 3589915230720. Its totient is φ = 384938265600.

The previous prime is 1224414340229. The next prime is 1224414340241. The reversal of 1224414340240 is 420434144221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1224414340241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7615401 + ... + 7774519.

It is an arithmetic number, because the mean of its divisors is an integer number (14957980128).

Almost surely, 2^{1224414340240} is an apocalyptic number.

1224414340240 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 1224414340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794957615360).

1224414340240 is an abundant number, since it is smaller than the sum of its proper divisors (2365500890480).

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

1224414340240 is a wasteful number, since it uses less digits than its factorization.

1224414340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159310 (or 159297 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 1224414340240 its reverse (420434144221), we get a palindrome (1644848484461).

The spelling of 1224414340240 in words is "one trillion, two hundred twenty-four billion, four hundred fourteen million, three hundred forty thousand, two hundred forty".