414014340331 has 48 divisors (see below), whose sum is σ = 445688904960. Its totient is φ = 384324657600.

The previous prime is 414014340329. The next prime is 414014340343. The reversal of 414014340331 is 133043410414.

It is a happy number.

It is not a de Polignac number, because 414014340331 - 2¹ = 414014340329 is a prime.

It is a super-2 number, since 2×414014340331² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414014340331.

It is not an unprimeable number, because it can be changed into a prime (414014340361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 934569396 + ... + 934569838.

It is an arithmetic number, because the mean of its divisors is an integer number (9285185520).

Almost surely, 2^414014340331 is an apocalyptic number.

414014340331 is a deficient number, since it is larger than the sum of its proper divisors (31674564629).

414014340331 is a wasteful number, since it uses less digits than its factorization.

414014340331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 414014340331 its reverse (133043410414), we get a palindrome (547057750745).

The spelling of 414014340331 in words is "four hundred fourteen billion, fourteen million, three hundred forty thousand, three hundred thirty-one".