414330413121 has 24 divisors (see below), whose sum is σ = 602888832000. Its totient is φ = 274184867232.

The previous prime is 414330413113. The next prime is 414330413149. The reversal of 414330413121 is 121314033414.

414330413121 is a `hidden beast` number, since 4 + 1 + 43 + 304 + 1 + 312 + 1 = 666.

It is not a de Polignac number, because 414330413121 - 2³ = 414330413113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414330403121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7966720 + ... + 8018558.

It is an arithmetic number, because the mean of its divisors is an integer number (25120368000).

Almost surely, 2^414330413121 is an apocalyptic number.

It is an amenable number.

414330413121 is a deficient number, since it is larger than the sum of its proper divisors (188558418879).

414330413121 is a wasteful number, since it uses less digits than its factorization.

414330413121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58373 (or 58370 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 414330413121 its reverse (121314033414), we get a palindrome (535644446535).

The spelling of 414330413121 in words is "four hundred fourteen billion, three hundred thirty million, four hundred thirteen thousand, one hundred twenty-one".