414004310334213 has 16 divisors (see below), whose sum is σ = 553294328380416. Its totient is φ = 275358601038320.

The previous prime is 414004310334193. The next prime is 414004310334221. The reversal of 414004310334213 is 312433013400414.

It is a cyclic number.

It is not a de Polignac number, because 414004310334213 - 2¹³ = 414004310326021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414004310314213) 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, 90664606 + ... + 95121392.

It is an arithmetic number, because the mean of its divisors is an integer number (34580895523776).

Almost surely, 2^{414004310334213} is an apocalyptic number.

It is an amenable number.

414004310334213 is a deficient number, since it is larger than the sum of its proper divisors (139290018046203).

414004310334213 is a wasteful number, since it uses less digits than its factorization.

414004310334213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4529064.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 414004310334213 its reverse (312433013400414), we get a palindrome (726437323734627).

The spelling of 414004310334213 in words is "four hundred fourteen trillion, four billion, three hundred ten million, three hundred thirty-four thousand, two hundred thirteen".