414304121121 has 48 divisors (see below), whose sum is σ = 640892313600. Its totient is φ = 237228346080.

The previous prime is 414304121089. The next prime is 414304121129. The reversal of 414304121121 is 121121403414.

It is a happy number.

It is not a de Polignac number, because 414304121121 - 2⁵ = 414304121089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414304121091 and 414304121100.

It is not an unprimeable number, because it can be changed into a prime (414304121129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2449360 + ... + 2613038.

It is an arithmetic number, because the mean of its divisors is an integer number (13351923200).

Almost surely, 2^414304121121 is an apocalyptic number.

It is an amenable number.

414304121121 is a deficient number, since it is larger than the sum of its proper divisors (226588192479).

414304121121 is a wasteful number, since it uses less digits than its factorization.

414304121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164090 (or 164079 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 414304121121 its reverse (121121403414), we get a palindrome (535425524535).

The spelling of 414304121121 in words is "four hundred fourteen billion, three hundred four million, one hundred twenty-one thousand, one hundred twenty-one".