414311121 has 36 divisors (see below), whose sum is σ = 726440832. Its totient is φ = 226450224.

The previous prime is 414311119. The next prime is 414311129. The reversal of 414311121 is 121113414.

It is not a de Polignac number, because 414311121 - 2¹ = 414311119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414311094 and 414311103.

It is not an unprimeable number, because it can be changed into a prime (414311129) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10281 + ... + 30566.

It is an arithmetic number, because the mean of its divisors is an integer number (20178912).

Almost surely, 2^414311121 is an apocalyptic number.

It is an amenable number.

414311121 is a deficient number, since it is larger than the sum of its proper divisors (312129711).

414311121 is a wasteful number, since it uses less digits than its factorization.

414311121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40890 (or 40880 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 414311121 is about 20354.6338950127. The cubic root of 414311121 is about 745.4906432734.

Adding to 414311121 its reverse (121113414), we get a palindrome (535424535).

The spelling of 414311121 in words is "four hundred fourteen million, three hundred eleven thousand, one hundred twenty-one".