4012134016968 has 448 divisors, whose sum is σ = 14087616491520. Its totient is φ = 1040221180800.

The previous prime is 4012134016871. The next prime is 4012134016973. The reversal of 4012134016968 is 8696104312104.

4012134016968 is a `hidden beast` number, since 4 + 0 + 121 + 3 + 401 + 69 + 68 = 666.

4012134016968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4012134016968² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 256407721 + ... + 256423367.

Almost surely, 2^{4012134016968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4012134016968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7043808245760).

4012134016968 is an abundant number, since it is smaller than the sum of its proper divisors (10075482474552).

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

4012134016968 is a wasteful number, since it uses less digits than its factorization.

4012134016968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16260 (or 16241 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 4012134016968 in words is "four trillion, twelve billion, one hundred thirty-four million, sixteen thousand, nine hundred sixty-eight".