1240442504224 has 288 divisors, whose sum is σ = 3191473958400. Its totient is φ = 463992883200.

The previous prime is 1240442504149. The next prime is 1240442504233. The reversal of 1240442504224 is 4224052440421.

It is a self number, because there is not a number n which added to its sum of digits gives 1240442504224.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142264537 + ... + 142273255.

It is an arithmetic number, because the mean of its divisors is an integer number (11081506800).

Almost surely, 2^{1240442504224} is an apocalyptic number.

1240442504224 is a gapful number since it is divisible by the number (14) 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 1240442504224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595736979200).

1240442504224 is an abundant number, since it is smaller than the sum of its proper divisors (1951031454176).

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

1240442504224 is a wasteful number, since it uses less digits than its factorization.

1240442504224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8968 (or 8949 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 34.

Adding to 1240442504224 its reverse (4224052440421), we get a palindrome (5464494944645).

The spelling of 1240442504224 in words is "one trillion, two hundred forty billion, four hundred forty-two million, five hundred four thousand, two hundred twenty-four".