4116613000 has 64 divisors (see below), whose sum is σ = 9644871600. Its totient is φ = 1644595200.

The previous prime is 4116612971. The next prime is 4116613021. The reversal of 4116613000 is 3166114.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 648109764 + 3468503236 = 25458^2 + 58894^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 994936 + ... + 999064.

Almost surely, 2^4116613000 is an apocalyptic number.

4116613000 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 4116613000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822435800).

4116613000 is an abundant number, since it is smaller than the sum of its proper divisors (5528258600).

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

4116613000 is a wasteful number, since it uses less digits than its factorization.

4116613000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5147 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 4116613000 is about 64160.8369646157. The cubic root of 4116613000 is about 1602.6794945631.

Adding to 4116613000 its reverse (3166114), we get a palindrome (4119779114).

The spelling of 4116613000 in words is "four billion, one hundred sixteen million, six hundred thirteen thousand".