4140114001 has 16 divisors (see below), whose sum is σ = 4307446224. Its totient is φ = 3976003584.

The previous prime is 4140113993. The next prime is 4140114019. The reversal of 4140114001 is 1004110414.

It can be written as a sum of positive squares in 8 ways, for example, as 1228432401 + 2911681600 = 35049^2 + 53960^2 .

It is a cyclic number.

It is not a de Polignac number, because 4140114001 - 2³ = 4140113993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4140114061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1072591 + ... + 1076443.

It is an arithmetic number, because the mean of its divisors is an integer number (269215389).

Almost surely, 2^4140114001 is an apocalyptic number.

It is an amenable number.

4140114001 is a deficient number, since it is larger than the sum of its proper divisors (167332223).

4140114001 is a wasteful number, since it uses less digits than its factorization.

4140114001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4260.

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 4140114001 is about 64343.7176498219. The cubic root of 4140114001 is about 1605.7235120150.

Adding to 4140114001 its reverse (1004110414), we get a palindrome (5144224415).

The spelling of 4140114001 in words is "four billion, one hundred forty million, one hundred fourteen thousand, one".