4239975768768 has 448 divisors, whose sum is σ = 13164408316800. Its totient is φ = 1336234475520.

The previous prime is 4239975768757. The next prime is 4239975768773. The reversal of 4239975768768 is 8678675799324.

It is a happy number.

4239975768768 is a `hidden beast` number, since 4 + 2 + 39 + 9 + 7 + 576 + 8 + 7 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 712238880 + ... + 712244832.

Almost surely, 2^{4239975768768} is an apocalyptic number.

4239975768768 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 4239975768768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6582204158400).

4239975768768 is an abundant number, since it is smaller than the sum of its proper divisors (8924432548032).

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

4239975768768 is a wasteful number, since it uses less digits than its factorization.

4239975768768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6297 (or 6281 counting only the distinct ones).

The product of its digits is 7681443840, while the sum is 81.

The spelling of 4239975768768 in words is "four trillion, two hundred thirty-nine billion, nine hundred seventy-five million, seven hundred sixty-eight thousand, seven hundred sixty-eight".