414012324411 has 32 divisors (see below), whose sum is σ = 718070169600. Its totient is φ = 230808260160.

The previous prime is 414012324377. The next prime is 414012324443. The reversal of 414012324411 is 114423210414.

414012324411 is a `hidden beast` number, since 4 + 1 + 401 + 2 + 3 + 244 + 11 = 666.

It is not a de Polignac number, because 414012324411 - 2⁶ = 414012324347 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 (414012324461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26706171 + ... + 26721668.

It is an arithmetic number, because the mean of its divisors is an integer number (22439692800).

Almost surely, 2^414012324411 is an apocalyptic number.

414012324411 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

414012324411 is a deficient number, since it is larger than the sum of its proper divisors (304057845189).

414012324411 is a wasteful number, since it uses less digits than its factorization.

414012324411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53427896 (or 53427890 counting only the distinct ones).

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

Adding to 414012324411 its reverse (114423210414), we get a palindrome (528435534825).

The spelling of 414012324411 in words is "four hundred fourteen billion, twelve million, three hundred twenty-four thousand, four hundred eleven".