414101114012 has 24 divisors (see below), whose sum is σ = 749839050240. Its totient is φ = 199893268080.

The previous prime is 414101113997. The next prime is 414101114017. The reversal of 414101114012 is 210411101414.

It is a super-2 number, since 2×414101114012² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414101114017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3933158 + ... + 4037069.

It is an arithmetic number, because the mean of its divisors is an integer number (31243293760).

Almost surely, 2^414101114012 is an apocalyptic number.

It is an amenable number.

414101114012 is a deficient number, since it is larger than the sum of its proper divisors (335737936228).

414101114012 is a wasteful number, since it uses less digits than its factorization.

414101114012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7970681 (or 7970679 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 414101114012 its reverse (210411101414), we get a palindrome (624512215426).

The spelling of 414101114012 in words is "four hundred fourteen billion, one hundred one million, one hundred fourteen thousand, twelve".