4092168192 has 384 divisors, whose sum is σ = 13727750400. Its totient is φ = 1056964608.

The previous prime is 4092168181. The next prime is 4092168239. The reversal of 4092168192 is 2918612904.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21202848 + ... + 21203040.

It is an arithmetic number, because the mean of its divisors is an integer number (35749350).

Almost surely, 2^4092168192 is an apocalyptic number.

4092168192 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 4092168192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863875200).

4092168192 is an abundant number, since it is smaller than the sum of its proper divisors (9635582208).

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

4092168192 is a wasteful number, since it uses less digits than its factorization.

4092168192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 4092168192 is about 63970.0569954412. The cubic root of 4092168192 is about 1599.5009110017.

The spelling of 4092168192 in words is "four billion, ninety-two million, one hundred sixty-eight thousand, one hundred ninety-two".