4170000000 has 256 divisors, whose sum is σ = 13945276800. Its totient is φ = 1104000000.

The previous prime is 4169999993. The next prime is 4170000013. The reversal of 4170000000 is 714.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 29999931 + ... + 30000069.

Almost surely, 2^4170000000 is an apocalyptic number.

4170000000 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 4170000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6972638400).

4170000000 is an abundant number, since it is smaller than the sum of its proper divisors (9775276800).

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

4170000000 is an frugal number, since it uses more digits than its factorization.

4170000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 4170000000 is about 64575.5371638518. The cubic root of 4170000000 is about 1609.5779663583.

Adding to 4170000000 its reverse (714), we get a palindrome (4170000714).

The spelling of 4170000000 in words is "four billion, one hundred seventy million", and thus it is an aban number.