4240814827914 has 144 divisors (see below), whose sum is σ = 11058937273800. Its totient is φ = 1169691522048.

The previous prime is 4240814827913. The next prime is 4240814827919. The reversal of 4240814827914 is 4197284180424.

4240814827914 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 81 + 482 + 79 + 14 = 666.

4240814827914 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3800031700689 + 440783127225 = 1949367^2 + 663915^2 .

It is not an unprimeable number, because it can be changed into a prime (4240814827913) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 251090782 + ... + 251107670.

Almost surely, 2^{4240814827914} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4240814827914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529468636900).

4240814827914 is an abundant number, since it is smaller than the sum of its proper divisors (6818122445886).

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

4240814827914 is a wasteful number, since it uses less digits than its factorization.

4240814827914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26757 (or 26747 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 4240814827914 in words is "four trillion, two hundred forty billion, eight hundred fourteen million, eight hundred twenty-seven thousand, nine hundred fourteen".