4140617101 has 8 divisors (see below), whose sum is σ = 4246212600. Its totient is φ = 4035240960.

The previous prime is 4140617059. The next prime is 4140617111. The reversal of 4140617101 is 1017160414.

4140617101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 206066025 + 3934551076 = 14355^2 + 62726^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4140617101 - 2⁷ = 4140616973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140617111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16266 + ... + 92443.

It is an arithmetic number, because the mean of its divisors is an integer number (530776575).

Almost surely, 2^4140617101 is an apocalyptic number.

4140617101 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4140617101 is a deficient number, since it is larger than the sum of its proper divisors (105595499).

4140617101 is a wasteful number, since it uses less digits than its factorization.

4140617101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109679.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 4140617101 is about 64347.6270036433. The cubic root of 4140617101 is about 1605.7885510274.

Adding to 4140617101 its reverse (1017160414), we get a palindrome (5157777515).

The spelling of 4140617101 in words is "four billion, one hundred forty million, six hundred seventeen thousand, one hundred one".