414432034321 has 8 divisors (see below), whose sum is σ = 415394987904. Its totient is φ = 413469404400.

The previous prime is 414432034297. The next prime is 414432034333. The reversal of 414432034321 is 123430234414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414432034321 - 2²⁵ = 414398479889 is a prime.

It is a super-4 number, since 4×414432034321⁴ (a number of 48 digits) contains 4444 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 (414432034421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2584536 + ... + 2740198.

It is an arithmetic number, because the mean of its divisors is an integer number (51924373488).

Almost surely, 2^414432034321 is an apocalyptic number.

It is an amenable number.

414432034321 is a deficient number, since it is larger than the sum of its proper divisors (962953583).

414432034321 is a wasteful number, since it uses less digits than its factorization.

414432034321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161831.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 414432034321 its reverse (123430234414), we get a palindrome (537862268735).

The spelling of 414432034321 in words is "four hundred fourteen billion, four hundred thirty-two million, thirty-four thousand, three hundred twenty-one".