414104352101 has 8 divisors (see below), whose sum is σ = 451789095744. Its totient is φ = 376426090720.

The previous prime is 414104352097. The next prime is 414104352187. The reversal of 414104352101 is 101253401414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414104352101 - 2² = 414104352097 is a prime.

It is a super-2 number, since 2×414104352101² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414104352301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1486505 + ... + 1742958.

It is an arithmetic number, because the mean of its divisors is an integer number (56473636968).

Almost surely, 2^414104352101 is an apocalyptic number.

It is an amenable number.

414104352101 is a deficient number, since it is larger than the sum of its proper divisors (37684743643).

414104352101 is a wasteful number, since it uses less digits than its factorization.

414104352101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241131.

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 414104352101 its reverse (101253401414), we get a palindrome (515357753515).

The spelling of 414104352101 in words is "four hundred fourteen billion, one hundred four million, three hundred fifty-two thousand, one hundred one".