414604132324321 has 8 divisors (see below), whose sum is σ = 420286859416424. Its totient is φ = 408921492216960.

The previous prime is 414604132324313. The next prime is 414604132324451. The reversal of 414604132324321 is 123423231406414.

It can be written as a sum of positive squares in 4 ways, for example, as 48597071745600 + 366007060578721 = 6971160^2 + 19131311^2 .

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 414604132324321 - 2³ = 414604132324313 is a prime.

It is a super-3 number, since 3×414604132324321³ (a number of 45 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 (414604132324021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12119046 + ... + 31242271.

It is an arithmetic number, because the mean of its divisors is an integer number (52535857427053).

Almost surely, 2^{414604132324321} is an apocalyptic number.

It is an amenable number.

414604132324321 is a deficient number, since it is larger than the sum of its proper divisors (5682727092103).

414604132324321 is a wasteful number, since it uses less digits than its factorization.

414604132324321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43492371.

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 414604132324321 in words is "four hundred fourteen trillion, six hundred four billion, one hundred thirty-two million, three hundred twenty-four thousand, three hundred twenty-one".