4166162000 has 320 divisors, whose sum is σ = 13532133888. Its totient is φ = 1198080000.

The previous prime is 4166161999. The next prime is 4166162003. The reversal of 4166162000 is 2616614.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166162003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2000960 + ... + 2003040.

Almost surely, 2^4166162000 is an apocalyptic number.

4166162000 is a gapful number since it is divisible by the number (40) 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 4166162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6766066944).

4166162000 is an abundant number, since it is smaller than the sum of its proper divisors (9365971888).

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

4166162000 is a wasteful number, since it uses less digits than its factorization.

4166162000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 4166162000 is about 64545.8131872238. The cubic root of 4166162000 is about 1609.0840050117.

Adding to 4166162000 its reverse (2616614), we get a palindrome (4168778614).

The spelling of 4166162000 in words is "four billion, one hundred sixty-six million, one hundred sixty-two thousand".