414012020213 has 64 divisors (see below), whose sum is σ = 486466560000. Its totient is φ = 348409152000.

The previous prime is 414012020197. The next prime is 414012020243. The reversal of 414012020213 is 312020210414.

It is a cyclic number.

It is not a de Polignac number, because 414012020213 - 2⁴ = 414012020197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414012020243) 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 63 ways as a sum of consecutive naturals, for example, 691171688 + ... + 691172286.

It is an arithmetic number, because the mean of its divisors is an integer number (7601040000).

Almost surely, 2^414012020213 is an apocalyptic number.

It is an amenable number.

414012020213 is a deficient number, since it is larger than the sum of its proper divisors (72454539787).

414012020213 is a wasteful number, since it uses less digits than its factorization.

414012020213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 414012020213 its reverse (312020210414), we get a palindrome (726032230627).

The spelling of 414012020213 in words is "four hundred fourteen billion, twelve million, twenty thousand, two hundred thirteen".