414121001 has 6 divisors (see below), whose sum is σ = 481732650. Its totient is φ = 354960816.

The previous prime is 414120991. The next prime is 414121007. The reversal of 414121001 is 100121414.

It can be written as a sum of positive squares in only one way, i.e., 359064601 + 55056400 = 18949^2 + 7420^2 .

It is not a de Polignac number, because 414121001 - 2¹⁰ = 414119977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414121007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4225676 + ... + 4225773.

It is an arithmetic number, because the mean of its divisors is an integer number (80288775).

Almost surely, 2^414121001 is an apocalyptic number.

It is an amenable number.

414121001 is a deficient number, since it is larger than the sum of its proper divisors (67611649).

414121001 is an equidigital number, since it uses as much as digits as its factorization.

414121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8451463 (or 8451456 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 414121001 is about 20349.9631694998. The cubic root of 414121001 is about 745.3765950305.

Adding to 414121001 its reverse (100121414), we get a palindrome (514242415).

The spelling of 414121001 in words is "four hundred fourteen million, one hundred twenty-one thousand, one".