414541214331 has 16 divisors (see below), whose sum is σ = 581920784640. Its totient is φ = 261766654560.

The previous prime is 414541214291. The next prime is 414541214377. The reversal of 414541214331 is 133412145414.

It is not a de Polignac number, because 414541214331 - 2¹⁸ = 414540952187 is a prime.

It is a super-2 number, since 2×414541214331² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414541214292 and 414541214301.

It is not an unprimeable number, because it can be changed into a prime (414541214431) 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, 369055 + ... + 982488.

It is an arithmetic number, because the mean of its divisors is an integer number (36370049040).

Almost surely, 2^414541214331 is an apocalyptic number.

414541214331 is a deficient number, since it is larger than the sum of its proper divisors (167379570309).

414541214331 is a wasteful number, since it uses less digits than its factorization.

414541214331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356946.

The product of its digits is 23040, while the sum is 33.

Adding to 414541214331 its reverse (133412145414), we get a palindrome (547953359745).

The spelling of 414541214331 in words is "four hundred fourteen billion, five hundred forty-one million, two hundred fourteen thousand, three hundred thirty-one".