414101144113 has 16 divisors (see below), whose sum is σ = 447527001600. Its totient is φ = 382262509440.

The previous prime is 414101144089. The next prime is 414101144117. The reversal of 414101144113 is 311441101414.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 414101144113 - 2²¹ = 414099046961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414101144117) 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, 2700228 + ... + 2849461.

It is an arithmetic number, because the mean of its divisors is an integer number (27970437600).

Almost surely, 2^414101144113 is an apocalyptic number.

It is an amenable number.

414101144113 is a deficient number, since it is larger than the sum of its proper divisors (33425857487).

414101144113 is a wasteful number, since it uses less digits than its factorization.

414101144113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5549832.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 414101144113 its reverse (311441101414), we get a palindrome (725542245527).

The spelling of 414101144113 in words is "four hundred fourteen billion, one hundred one million, one hundred forty-four thousand, one hundred thirteen".