4240166000 has 200 divisors, whose sum is σ = 11974342224. Its totient is φ = 1452124800.

The previous prime is 4240165987. The next prime is 4240166023. The reversal of 4240166000 is 6610424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4801559 + ... + 4802441.

Almost surely, 2^4240166000 is an apocalyptic number.

4240166000 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 4240166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987171112).

4240166000 is an abundant number, since it is smaller than the sum of its proper divisors (7734176224).

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

4240166000 is an frugal number, since it uses more digits than its factorization.

4240166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 4240166000 is about 65116.5570342904. The cubic root of 4240166000 is about 1618.5555890214. Note that the first 4 decimals are identical.

Adding to 4240166000 its reverse (6610424), we get a palindrome (4246776424).

The spelling of 4240166000 in words is "four billion, two hundred forty million, one hundred sixty-six thousand".