4140213201 has 12 divisors (see below), whose sum is σ = 6332091012. Its totient is φ = 2597780736.

The previous prime is 4140213193. The next prime is 4140213223. The reversal of 4140213201 is 1023120414.

It can be written as a sum of positive squares in 2 ways, for example, as 1587942801 + 2552270400 = 39849^2 + 50520^2 .

It is not a de Polignac number, because 4140213201 - 2³ = 4140213193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4140213241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13529956 + ... + 13530261.

It is an arithmetic number, because the mean of its divisors is an integer number (527674251).

Almost surely, 2^4140213201 is an apocalyptic number.

It is an amenable number.

4140213201 is a deficient number, since it is larger than the sum of its proper divisors (2191877811).

4140213201 is a wasteful number, since it uses less digits than its factorization.

4140213201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27060240 (or 27060237 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4140213201 is about 64344.4885052325. The cubic root of 4140213201 is about 1605.7363366618.

Adding to 4140213201 its reverse (1023120414), we get a palindrome (5163333615).

It can be divided in two parts, 4140213 and 201, that added together give a palindrome (4140414).

The spelling of 4140213201 in words is "four billion, one hundred forty million, two hundred thirteen thousand, two hundred one".