4114030021201 has 48 divisors (see below), whose sum is σ = 4682116731600. Its totient is φ = 3599430303744.

The previous prime is 4114030021151. The next prime is 4114030021219. The reversal of 4114030021201 is 1021200304114.

It can be written as a sum of positive squares in 8 ways, for example, as 353626462225 + 3760403558976 = 594665^2 + 1939176^2 .

It is not a de Polignac number, because 4114030021201 - 2⁹ = 4114030020689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4114030021601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309109735 + ... + 309123043.

It is an arithmetic number, because the mean of its divisors is an integer number (97544098575).

Almost surely, 2^{4114030021201} is an apocalyptic number.

It is an amenable number.

4114030021201 is a deficient number, since it is larger than the sum of its proper divisors (568086710399).

4114030021201 is a wasteful number, since it uses less digits than its factorization.

4114030021201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14338 (or 14315 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 4114030021201 its reverse (1021200304114), we get a palindrome (5135230325315).

The spelling of 4114030021201 in words is "four trillion, one hundred fourteen billion, thirty million, twenty-one thousand, two hundred one".