414114031102001 has 8 divisors (see below), whose sum is σ = 439196041912320. Its totient is φ = 389112282727488.

The previous prime is 414114031101989. The next prime is 414114031102007. The reversal of 414114031102001 is 100201130411414.

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 414114031102001 - 2²⁶ = 414113963993137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414114031102007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20065598321 + ... + 20065618958.

It is an arithmetic number, because the mean of its divisors is an integer number (54899505239040).

Almost surely, 2^{414114031102001} is an apocalyptic number.

It is an amenable number.

414114031102001 is a deficient number, since it is larger than the sum of its proper divisors (25082010810319).

414114031102001 is a wasteful number, since it uses less digits than its factorization.

414114031102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40131217903.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 414114031102001 its reverse (100201130411414), we get a palindrome (514315161513415).

The spelling of 414114031102001 in words is "four hundred fourteen trillion, one hundred fourteen billion, thirty-one million, one hundred two thousand, one".