414101011134031 has 16 divisors (see below), whose sum is σ = 447174152869248. Its totient is φ = 381202062393600.

The previous prime is 414101011134029. The next prime is 414101011134047. The reversal of 414101011134031 is 130431110101414.

It is a cyclic number.

It is not a de Polignac number, because 414101011134031 - 2¹ = 414101011134029 is a prime.

It is a super-2 number, since 2×414101011134031² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414101011133987 and 414101011134005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414101011134071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626202021 + ... + 626862961.

It is an arithmetic number, because the mean of its divisors is an integer number (27948384554328).

Almost surely, 2^{414101011134031} is an apocalyptic number.

414101011134031 is a deficient number, since it is larger than the sum of its proper divisors (33073141735217).

414101011134031 is a wasteful number, since it uses less digits than its factorization.

414101011134031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792642.

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 414101011134031 its reverse (130431110101414), we get a palindrome (544532121235445).

The spelling of 414101011134031 in words is "four hundred fourteen trillion, one hundred one billion, eleven million, one hundred thirty-four thousand, thirty-one".