414330412221 has 32 divisors (see below), whose sum is σ = 669660963840. Its totient is φ = 251095820400.

The previous prime is 414330412211. The next prime is 414330412259. The reversal of 414330412221 is 122214033414.

414330412221 is a `hidden beast` number, since 4 + 1 + 433 + 0 + 4 + 1 + 2 + 221 = 666.

It is not a de Polignac number, because 414330412221 - 2¹⁵ = 414330379453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414330412211) 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 31 ways as a sum of consecutive naturals, for example, 9965286 + ... + 10006776.

It is an arithmetic number, because the mean of its divisors is an integer number (20926905120).

Almost surely, 2^414330412221 is an apocalyptic number.

It is an amenable number.

414330412221 is a deficient number, since it is larger than the sum of its proper divisors (255330551619).

414330412221 is a wasteful number, since it uses less digits than its factorization.

414330412221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75134 (or 75128 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 414330412221 its reverse (122214033414), we get a palindrome (536544445635).

The spelling of 414330412221 in words is "four hundred fourteen billion, three hundred thirty million, four hundred twelve thousand, two hundred twenty-one".