414014210413 has 8 divisors (see below), whose sum is σ = 423819696960. Its totient is φ = 404301667200.

The previous prime is 414014210339. The next prime is 414014210417. The reversal of 414014210413 is 314012410414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414014210413 - 2³⁷ = 276575256941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414014210417) 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 7 ways as a sum of consecutive naturals, for example, 23226820 + ... + 23244637.

It is an arithmetic number, because the mean of its divisors is an integer number (52977462120).

Almost surely, 2^414014210413 is an apocalyptic number.

It is an amenable number.

414014210413 is a deficient number, since it is larger than the sum of its proper divisors (9805486547).

414014210413 is a wasteful number, since it uses less digits than its factorization.

414014210413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46471667.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 414014210413 its reverse (314012410414), we get a palindrome (728026620827).

The spelling of 414014210413 in words is "four hundred fourteen billion, fourteen million, two hundred ten thousand, four hundred thirteen".