414114430001 has 8 divisors (see below), whose sum is σ = 438554229120. Its totient is φ = 389683533888.

The previous prime is 414114429959. The next prime is 414114430027. The reversal of 414114430001 is 100034411414.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414114430001 is a prime.

It is a super-2 number, since 2×414114430001² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414114430091) 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, 2129861 + ... + 2316146.

It is an arithmetic number, because the mean of its divisors is an integer number (54819278640).

Almost surely, 2^414114430001 is an apocalyptic number.

It is an amenable number.

414114430001 is a deficient number, since it is larger than the sum of its proper divisors (24439799119).

414114430001 is a wasteful number, since it uses less digits than its factorization.

414114430001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451503.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 414114430001 its reverse (100034411414), we get a palindrome (514148841415).

The spelling of 414114430001 in words is "four hundred fourteen billion, one hundred fourteen million, four hundred thirty thousand, one".