414312356241 has 135 divisors (see below), whose sum is σ = 766074074337. Its totient is φ = 222452697600.

The previous prime is 414312356221. The next prime is 414312356273. The reversal of 414312356241 is 142653213414.

The square root of 414312356241 is 643671.

It is a perfect power (a square), and thus also a powerful number.

414312356241 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 1 + 23 + 5 + 624 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 159788070225 + 254524286016 = 399735^2 + 504504^2 .

It is not a de Polignac number, because 414312356241 - 2⁵ = 414312356209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414312356196 and 414312356205.

It is not an unprimeable number, because it can be changed into a prime (414312356221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 689371341 + ... + 689371941.

Almost surely, 2^414312356241 is an apocalyptic number.

414312356241 is the 643671-st square number.

414312356241 is the 321836-th centered octagonal number.

It is an amenable number.

414312356241 is a deficient number, since it is larger than the sum of its proper divisors (351761718096).

414312356241 is an frugal number, since it uses more digits than its factorization.

414312356241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 628 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Multiplying 414312356241 by its sum of digits (36), we get a square (14915244824676 = 3862026²).

Adding to 414312356241 its reverse (142653213414), we get a palindrome (556965569655).

The spelling of 414312356241 in words is "four hundred fourteen billion, three hundred twelve million, three hundred fifty-six thousand, two hundred forty-one".