414340544314213 has 16 divisors (see below), whose sum is σ = 483164294239872. Its totient is φ = 351508415104000.

The previous prime is 414340544314187. The next prime is 414340544314217. The reversal of 414340544314213 is 312413445043414.

It is not a de Polignac number, because 414340544314213 - 2¹⁷ = 414340544183141 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414340544314213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414340544314217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19972058668 + ... + 19972079413.

It is an arithmetic number, because the mean of its divisors is an integer number (30197768389992).

Almost surely, 2^{414340544314213} is an apocalyptic number.

It is an amenable number.

414340544314213 is a deficient number, since it is larger than the sum of its proper divisors (68823749925659).

414340544314213 is a wasteful number, since it uses less digits than its factorization.

414340544314213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39944138156.

The product of its (nonzero) digits is 1105920, while the sum is 43.

Adding to 414340544314213 its reverse (312413445043414), we get a palindrome (726753989357627).

The spelling of 414340544314213 in words is "four hundred fourteen trillion, three hundred forty billion, five hundred forty-four million, three hundred fourteen thousand, two hundred thirteen".