414013122310 has 32 divisors (see below), whose sum is σ = 769305600000. Its totient is φ = 160254288480.

The previous prime is 414013122301. The next prime is 414013122337. The reversal of 414013122310 is 13221310414.

It is a super-2 number, since 2×414013122310² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9836691 + ... + 9878689.

It is an arithmetic number, because the mean of its divisors is an integer number (24040800000).

Almost surely, 2^414013122310 is an apocalyptic number.

414013122310 is a deficient number, since it is larger than the sum of its proper divisors (355292477690).

414013122310 is a wasteful number, since it uses less digits than its factorization.

414013122310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73836.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 414013122310 its reverse (13221310414), we get a palindrome (427234432724).

The spelling of 414013122310 in words is "four hundred fourteen billion, thirteen million, one hundred twenty-two thousand, three hundred ten".