1414104201 has 24 divisors (see below), whose sum is σ = 2065801920. Its totient is φ = 932056416.

The previous prime is 1414104199. The next prime is 1414104281. The reversal of 1414104201 is 1024014141.

1414104201 = 7224² + 7225² + ... + 7250².

It is not a de Polignac number, because 1414104201 - 2¹ = 1414104199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1414104281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 990250 + ... + 991676.

It is an arithmetic number, because the mean of its divisors is an integer number (86075080).

Almost surely, 2^1414104201 is an apocalyptic number.

It is an amenable number.

1414104201 is a deficient number, since it is larger than the sum of its proper divisors (651697719).

1414104201 is a wasteful number, since it uses less digits than its factorization.

1414104201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1414104201 is about 37604.5768623980. The cubic root of 1414104201 is about 1122.4331141704.

Adding to 1414104201 its reverse (1024014141), we get a palindrome (2438118342).

The spelling of 1414104201 in words is "one billion, four hundred fourteen million, one hundred four thousand, two hundred one".