414342113211 has 96 divisors (see below), whose sum is σ = 711691868160. Its totient is φ = 238634740224.

The previous prime is 414342113209. The next prime is 414342113243. The reversal of 414342113211 is 112311243414.

It is a happy number.

414342113211 is a `hidden beast` number, since 4 + 1 + 434 + 2 + 1 + 13 + 211 = 666.

It is not a de Polignac number, because 414342113211 - 2¹ = 414342113209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (414342113411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9591286 + ... + 9634388.

It is an arithmetic number, because the mean of its divisors is an integer number (7413456960).

Almost surely, 2^414342113211 is an apocalyptic number.

414342113211 is a deficient number, since it is larger than the sum of its proper divisors (297349754949).

414342113211 is a wasteful number, since it uses less digits than its factorization.

414342113211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43327 (or 43315 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 414342113211 its reverse (112311243414), we get a palindrome (526653356625).

The spelling of 414342113211 in words is "four hundred fourteen billion, three hundred forty-two million, one hundred thirteen thousand, two hundred eleven".