414341302001 has 24 divisors (see below), whose sum is σ = 465232212480. Its totient is φ = 368573071680.

The previous prime is 414341301973. The next prime is 414341302003. The reversal of 414341302001 is 100203143414.

It is a de Polignac number, because none of the positive numbers 2^k-414341302001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414341302003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45997640 + ... + 46006646.

It is an arithmetic number, because the mean of its divisors is an integer number (19384675520).

Almost surely, 2^414341302001 is an apocalyptic number.

It is an amenable number.

414341302001 is a deficient number, since it is larger than the sum of its proper divisors (50890910479).

414341302001 is a wasteful number, since it uses less digits than its factorization.

414341302001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17165 (or 17154 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 414341302001 its reverse (100203143414), we get a palindrome (514544445415).

The spelling of 414341302001 in words is "four hundred fourteen billion, three hundred forty-one million, three hundred two thousand, one".