414001021321 has 8 divisors (see below), whose sum is σ = 414797490944. Its totient is φ = 413204697360.

The previous prime is 414001021309. The next prime is 414001021327. The reversal of 414001021321 is 123120100414.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414001021321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414001021327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6918751 + ... + 6978331.

It is an arithmetic number, because the mean of its divisors is an integer number (51849686368).

Almost surely, 2^414001021321 is an apocalyptic number.

It is an amenable number.

414001021321 is a deficient number, since it is larger than the sum of its proper divisors (796469623).

414001021321 is a wasteful number, since it uses less digits than its factorization.

414001021321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72831.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 414001021321 its reverse (123120100414), we get a palindrome (537121121735).

The spelling of 414001021321 in words is "four hundred fourteen billion, one million, twenty-one thousand, three hundred twenty-one".