414012310441 has 8 divisors (see below), whose sum is σ = 414193050824. Its totient is φ = 413831617920.

The previous prime is 414012310429. The next prime is 414012310447. The reversal of 414012310441 is 144013210414.

It can be written as a sum of positive squares in 4 ways, for example, as 14719755625 + 399292554816 = 121325^2 + 631896^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414012310441 - 2⁵ = 414012310409 is a prime.

It is a super-2 number, since 2×414012310441² (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 (414012310447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41508331 + ... + 41518303.

It is an arithmetic number, because the mean of its divisors is an integer number (51774131353).

Almost surely, 2^414012310441 is an apocalyptic number.

It is an amenable number.

414012310441 is a deficient number, since it is larger than the sum of its proper divisors (180740383).

414012310441 is an equidigital number, since it uses as much as digits as its factorization.

414012310441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23931.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 414012310441 its reverse (144013210414), we get a palindrome (558025520855).

The spelling of 414012310441 in words is "four hundred fourteen billion, twelve million, three hundred ten thousand, four hundred forty-one".