414313101021 has 8 divisors (see below), whose sum is σ = 556075862464. Its totient is φ = 274379536800.

The previous prime is 414313101017. The next prime is 414313101049. The reversal of 414313101021 is 120101313414.

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

It is not a de Polignac number, because 414313101021 - 2² = 414313101017 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414313108021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457298776 + ... + 457299681.

It is an arithmetic number, because the mean of its divisors is an integer number (69509482808).

Almost surely, 2^414313101021 is an apocalyptic number.

It is an amenable number.

414313101021 is a deficient number, since it is larger than the sum of its proper divisors (141762761443).

414313101021 is a wasteful number, since it uses less digits than its factorization.

414313101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914598611.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 414313101021 its reverse (120101313414), we get a palindrome (534414414435).

The spelling of 414313101021 in words is "four hundred fourteen billion, three hundred thirteen million, one hundred one thousand, twenty-one".