414343014001 has 16 divisors (see below), whose sum is σ = 486152523648. Its totient is φ = 345790224000.

The previous prime is 414343013999. The next prime is 414343014053. The reversal of 414343014001 is 100410343414.

It is a cyclic number.

It is not a de Polignac number, because 414343014001 - 2¹ = 414343013999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414343014061) 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, 4214100 + ... + 4311301.

It is an arithmetic number, because the mean of its divisors is an integer number (30384532728).

Almost surely, 2^414343014001 is an apocalyptic number.

It is an amenable number.

414343014001 is a deficient number, since it is larger than the sum of its proper divisors (71809509647).

414343014001 is a wasteful number, since it uses less digits than its factorization.

414343014001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8525592.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 414343014001 its reverse (100410343414), we get a palindrome (514753357415).

The spelling of 414343014001 in words is "four hundred fourteen billion, three hundred forty-three million, fourteen thousand, one".