414344211201 has 12 divisors (see below), whose sum is σ = 598682586580. Its totient is φ = 276143908320.

The previous prime is 414344211191. The next prime is 414344211263. The reversal of 414344211201 is 102112443414.

414344211201 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 442 + 11 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95852160000 + 318492051201 = 309600^2 + 564351^2 .

It is not a de Polignac number, because 414344211201 - 2¹⁰ = 414344210177 is a prime.

It is a super-2 number, since 2×414344211201² (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 (414344211601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7099810 + ... + 7157931.

Almost surely, 2^414344211201 is an apocalyptic number.

It is an amenable number.

414344211201 is a deficient number, since it is larger than the sum of its proper divisors (184338375379).

414344211201 is a wasteful number, since it uses less digits than its factorization.

414344211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14260976 (or 14260973 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 414344211201 its reverse (102112443414), we get a palindrome (516456654615).

The spelling of 414344211201 in words is "four hundred fourteen billion, three hundred forty-four million, two hundred eleven thousand, two hundred one".