3968121815009 has 8 divisors (see below), whose sum is σ = 4346106619680. Its totient is φ = 3593011420000.

The previous prime is 3968121814933. The next prime is 3968121815029. The reversal of 3968121815009 is 9005181218693.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3968121815009 - 2⁸ = 3968121814753 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3968121815029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 718599524 + ... + 718605045.

It is an arithmetic number, because the mean of its divisors is an integer number (543263327460).

Almost surely, 2^{3968121815009} is an apocalyptic number.

It is an amenable number.

3968121815009 is a deficient number, since it is larger than the sum of its proper divisors (377984804671).

3968121815009 is a wasteful number, since it uses less digits than its factorization.

3968121815009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437204831.

The product of its (nonzero) digits is 933120, while the sum is 53.

The spelling of 3968121815009 in words is "three trillion, nine hundred sixty-eight billion, one hundred twenty-one million, eight hundred fifteen thousand, nine".