4240114431201 has 96 divisors (see below), whose sum is σ = 7092465494400. Its totient is φ = 2412441507840.

The previous prime is 4240114431149. The next prime is 4240114431229. The reversal of 4240114431201 is 1021344110424.

4240114431201 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 11 + 443 + 1 + 201 = 666.

It is not a de Polignac number, because 4240114431201 - 2¹⁹ = 4240113906913 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4240114431271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1895445655 + ... + 1895447891.

It is an arithmetic number, because the mean of its divisors is an integer number (73879848900).

Almost surely, 2^{4240114431201} is an apocalyptic number.

It is an amenable number.

4240114431201 is a deficient number, since it is larger than the sum of its proper divisors (2852351063199).

4240114431201 is a wasteful number, since it uses less digits than its factorization.

4240114431201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639 (or 4636 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4240114431201 its reverse (1021344110424), we get a palindrome (5261458541625).

The spelling of 4240114431201 in words is "four trillion, two hundred forty billion, one hundred fourteen million, four hundred thirty-one thousand, two hundred one".