414414214331 has 16 divisors (see below), whose sum is σ = 449214623424. Its totient is φ = 380032159104.

The previous prime is 414414214267. The next prime is 414414214399. The reversal of 414414214331 is 133412414414.

It is not a de Polignac number, because 414414214331 - 2⁶ = 414414214267 is a prime.

It is a super-2 number, since 2×414414214331² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414414214931) 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, 14237765 + ... + 14266841.

It is an arithmetic number, because the mean of its divisors is an integer number (28075913964).

Almost surely, 2^414414214331 is an apocalyptic number.

414414214331 is a deficient number, since it is larger than the sum of its proper divisors (34800409093).

414414214331 is a wasteful number, since it uses less digits than its factorization.

414414214331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36230.

The product of its digits is 18432, while the sum is 32.

Adding to 414414214331 its reverse (133412414414), we get a palindrome (547826628745).

The spelling of 414414214331 in words is "four hundred fourteen billion, four hundred fourteen million, two hundred fourteen thousand, three hundred thirty-one".