414024340201 has 16 divisors (see below), whose sum is σ = 442377958464. Its totient is φ = 386129286144.

The previous prime is 414024340183. The next prime is 414024340237. The reversal of 414024340201 is 102043420414.

It is a cyclic number.

It is not a de Polignac number, because 414024340201 - 2¹³ = 414024332009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414024340271) 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 15 ways as a sum of consecutive naturals, for example, 712146 + ... + 1155508.

It is an arithmetic number, because the mean of its divisors is an integer number (27648622404).

Almost surely, 2^414024340201 is an apocalyptic number.

It is an amenable number.

414024340201 is a deficient number, since it is larger than the sum of its proper divisors (28353618263).

414024340201 is a wasteful number, since it uses less digits than its factorization.

414024340201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443880.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 414024340201 its reverse (102043420414), we get a palindrome (516067760615).

The spelling of 414024340201 in words is "four hundred fourteen billion, twenty-four million, three hundred forty thousand, two hundred one".