414221301433321 has 16 divisors (see below), whose sum is σ = 427846437715968. Its totient is φ = 400612668019200.

The previous prime is 414221301433309. The next prime is 414221301433339. The reversal of 414221301433321 is 123334103122414.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 414221301433321 - 2¹⁵ = 414221301400553 is a prime.

It is a super-2 number, since 2×414221301433321² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414221301433021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452208216 + ... + 453123286.

It is an arithmetic number, because the mean of its divisors is an integer number (26740402357248).

Almost surely, 2^{414221301433321} is an apocalyptic number.

It is an amenable number.

414221301433321 is a deficient number, since it is larger than the sum of its proper divisors (13625136282647).

414221301433321 is a wasteful number, since it uses less digits than its factorization.

414221301433321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924072.

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 414221301433321 its reverse (123334103122414), we get a palindrome (537555404555735).

The spelling of 414221301433321 in words is "four hundred fourteen trillion, two hundred twenty-one billion, three hundred one million, four hundred thirty-three thousand, three hundred twenty-one".