414013413213 has 16 divisors (see below), whose sum is σ = 649432805760. Its totient is φ = 259773121728.

The previous prime is 414013413199. The next prime is 414013413223. The reversal of 414013413213 is 312314310414.

414013413213 is a `hidden beast` number, since 4 + 1 + 401 + 3 + 41 + 3 + 213 = 666.

It is not a de Polignac number, because 414013413213 - 2¹⁴ = 414013396829 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414013413223) 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, 450994545 + ... + 450995462.

It is an arithmetic number, because the mean of its divisors is an integer number (40589550360).

Almost surely, 2^414013413213 is an apocalyptic number.

It is an amenable number.

414013413213 is a deficient number, since it is larger than the sum of its proper divisors (235419392547).

414013413213 is a wasteful number, since it uses less digits than its factorization.

414013413213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901990033 (or 901990027 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 414013413213 its reverse (312314310414), we get a palindrome (726327723627).

The spelling of 414013413213 in words is "four hundred fourteen billion, thirteen million, four hundred thirteen thousand, two hundred thirteen".