4243241742768 has 1120 divisors, whose sum is σ = 14927550861312. Its totient is φ = 1142810726400.

The previous prime is 4243241742767. The next prime is 4243241742781. The reversal of 4243241742768 is 8672471423424.

4243241742768 is a `hidden beast` number, since 42 + 4 + 324 + 1 + 7 + 4 + 276 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4243241742767) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 15657718473 + ... + 15657718743.

Almost surely, 2^{4243241742768} is an apocalyptic number.

4243241742768 is a gapful number since it is divisible by the number (48) 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 4243241742768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7463775430656).

4243241742768 is an abundant number, since it is smaller than the sum of its proper divisors (10684309118544).

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

4243241742768 is a wasteful number, since it uses less digits than its factorization.

4243241742768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 464 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 54.

The spelling of 4243241742768 in words is "four trillion, two hundred forty-three billion, two hundred forty-one million, seven hundred forty-two thousand, seven hundred sixty-eight".