414214511321 has 4 divisors (see below), whose sum is σ = 446077166052. Its totient is φ = 382351856592.

The previous prime is 414214511281. The next prime is 414214511353. The reversal of 414214511321 is 123115412414.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 220406775625 + 193807735696 = 469475^2 + 440236^2 .

It is a cyclic number.

It is not a de Polignac number, because 414214511321 - 2³⁰ = 413140769497 is a prime.

It is a super-3 number, since 3×414214511321³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414214511521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15931327346 + ... + 15931327371.

It is an arithmetic number, because the mean of its divisors is an integer number (111519291513).

Almost surely, 2^414214511321 is an apocalyptic number.

It is an amenable number.

414214511321 is a deficient number, since it is larger than the sum of its proper divisors (31862654731).

414214511321 is a wasteful number, since it uses less digits than its factorization.

414214511321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31862654730.

The product of its digits is 3840, while the sum is 29.

Adding to 414214511321 its reverse (123115412414), we get a palindrome (537329923735).

The spelling of 414214511321 in words is "four hundred fourteen billion, two hundred fourteen million, five hundred eleven thousand, three hundred twenty-one".