4167878188428 has 288 divisors, whose sum is σ = 11293566298560. Its totient is φ = 1293495920640.

The previous prime is 4167878188367. The next prime is 4167878188429. The reversal of 4167878188428 is 8248818787614.

4167878188428 is a `hidden beast` number, since 4 + 16 + 7 + 8 + 7 + 8 + 188 + 428 = 666.

4167878188428 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 2×4167878188428² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4167878188429) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2653008883 + ... + 2653010453.

It is an arithmetic number, because the mean of its divisors is an integer number (39213771870).

Almost surely, 2^{4167878188428} 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 4167878188428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646783149280).

4167878188428 is an abundant number, since it is smaller than the sum of its proper divisors (7125688110132).

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

4167878188428 is a wasteful number, since it uses less digits than its factorization.

4167878188428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2212 counting only the distinct ones).

The product of its digits is 308281344, while the sum is 72.

The spelling of 4167878188428 in words is "four trillion, one hundred sixty-seven billion, eight hundred seventy-eight million, one hundred eighty-eight thousand, four hundred twenty-eight".