4067830168416 has 240 divisors, whose sum is σ = 13677637881600. Its totient is φ = 1161794430720.

The previous prime is 4067830168399. The next prime is 4067830168417. The reversal of 4067830168416 is 6148610387604.

4067830168416 is a `hidden beast` number, since 4 + 0 + 67 + 8 + 3 + 0 + 168 + 416 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4067830168417) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49147035 + ... + 49229733.

It is an arithmetic number, because the mean of its divisors is an integer number (56990157840).

Almost surely, 2^{4067830168416} 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 4067830168416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6838818940800).

4067830168416 is an abundant number, since it is smaller than the sum of its proper divisors (9609807713184).

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

4067830168416 is a wasteful number, since it uses less digits than its factorization.

4067830168416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85439 (or 85422 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 4067830168416 in words is "four trillion, sixty-seven billion, eight hundred thirty million, one hundred sixty-eight thousand, four hundred sixteen".