4067671074012 has 216 divisors, whose sum is σ = 12892822802496. Its totient is φ = 1071804254976.

The previous prime is 4067671074011. The next prime is 4067671074017. The reversal of 4067671074012 is 2104701767604.

4067671074012 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 2×4067671074012² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4067671074011) 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, 24983533 + ... + 25145819.

It is an arithmetic number, because the mean of its divisors is an integer number (59688994456).

Almost surely, 2^{4067671074012} is an apocalyptic number.

4067671074012 is a gapful number since it is divisible by the number (42) 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 4067671074012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446411401248).

4067671074012 is an abundant number, since it is smaller than the sum of its proper divisors (8825151728484).

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

4067671074012 is a wasteful number, since it uses less digits than its factorization.

4067671074012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163417 (or 163405 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 4067671074012 in words is "four trillion, sixty-seven billion, six hundred seventy-one million, seventy-four thousand, twelve".