414102321221 has 8 divisors (see below), whose sum is σ = 415898760600. Its totient is φ = 412308171520.

The previous prime is 414102321211. The next prime is 414102321229. The reversal of 414102321221 is 122123201414.

It can be written as a sum of positive squares in 4 ways, for example, as 201276952321 + 212825368900 = 448639^2 + 461330^2 .

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 414102321221 - 2²² = 414098126917 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414102321229) 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, 209426 + ... + 933843.

It is an arithmetic number, because the mean of its divisors is an integer number (51987345075).

Almost surely, 2^414102321221 is an apocalyptic number.

It is an amenable number.

414102321221 is a deficient number, since it is larger than the sum of its proper divisors (1796439379).

414102321221 is a wasteful number, since it uses less digits than its factorization.

414102321221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144839.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 414102321221 its reverse (122123201414), we get a palindrome (536225522635).

The spelling of 414102321221 in words is "four hundred fourteen billion, one hundred two million, three hundred twenty-one thousand, two hundred twenty-one".