414144044100111 has 16 divisors (see below), whose sum is σ = 600441850351616. Its totient is φ = 252383525005536.

The previous prime is 414144044100107. The next prime is 414144044100139. The reversal of 414144044100111 is 111001440441414.

It is not a de Polignac number, because 414144044100111 - 2² = 414144044100107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414144044100151) 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, 51548918575 + ... + 51548926608.

It is an arithmetic number, because the mean of its divisors is an integer number (37527615646976).

Almost surely, 2^{414144044100111} is an apocalyptic number.

414144044100111 is a deficient number, since it is larger than the sum of its proper divisors (186297806251505).

414144044100111 is a wasteful number, since it uses less digits than its factorization.

414144044100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103097845302.

The product of its (nonzero) digits is 4096, while the sum is 30.

Adding to 414144044100111 its reverse (111001440441414), we get a palindrome (525145484541525).

The spelling of 414144044100111 in words is "four hundred fourteen trillion, one hundred forty-four billion, forty-four million, one hundred thousand, one hundred eleven".