4240616100 has 144 divisors (see below), whose sum is σ = 14042851200. Its totient is φ = 967864320.

The previous prime is 4240616069. The next prime is 4240616111. The reversal of 4240616100 is 16160424.

4240616100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2243956 + ... + 2245844.

It is an arithmetic number, because the mean of its divisors is an integer number (97519800).

Almost surely, 2^4240616100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4240616100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021425600).

4240616100 is an abundant number, since it is smaller than the sum of its proper divisors (9802235100).

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

4240616100 is a wasteful number, since it uses less digits than its factorization.

4240616100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4240616100 is about 65120.0130528242. The cubic root of 4240616100 is about 1618.6128576987.

Adding to 4240616100 its reverse (16160424), we get a palindrome (4256776524).

The spelling of 4240616100 in words is "four billion, two hundred forty million, six hundred sixteen thousand, one hundred".