414421332311 has 16 divisors (see below), whose sum is σ = 498879571200. Its totient is φ = 336301460928.

The previous prime is 414421332251. The next prime is 414421332341. The reversal of 414421332311 is 113233124414.

It is a cyclic number.

It is not a de Polignac number, because 414421332311 - 2¹⁰ = 414421331287 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 (414421332341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820406 + ... + 1225523.

It is an arithmetic number, because the mean of its divisors is an integer number (31179973200).

Almost surely, 2^414421332311 is an apocalyptic number.

414421332311 is a deficient number, since it is larger than the sum of its proper divisors (84458238889).

414421332311 is a wasteful number, since it uses less digits than its factorization.

414421332311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047478.

The product of its digits is 6912, while the sum is 29.

Adding to 414421332311 its reverse (113233124414), we get a palindrome (527654456725).

The spelling of 414421332311 in words is "four hundred fourteen billion, four hundred twenty-one million, three hundred thirty-two thousand, three hundred eleven".