414310314012 has 48 divisors (see below), whose sum is σ = 1112891969280. Its totient is φ = 117510325632.

The previous prime is 414310314001. The next prime is 414310314013. The reversal of 414310314012 is 210413013414.

It is a super-2 number, since 2×414310314012² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414310314013) 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 15 ways as a sum of consecutive naturals, for example, 17989462 + ... + 18012477.

It is an arithmetic number, because the mean of its divisors is an integer number (23185249360).

Almost surely, 2^414310314012 is an apocalyptic number.

414310314012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

414310314012 is an abundant number, since it is smaller than the sum of its proper divisors (698581655268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414310314012 is a wasteful number, since it uses less digits than its factorization.

414310314012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36002090 (or 36002088 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 414310314012 its reverse (210413013414), we get a palindrome (624723327426).

The spelling of 414310314012 in words is "four hundred fourteen billion, three hundred ten million, three hundred fourteen thousand, twelve".