414024314444234 has 64 divisors (see below), whose sum is σ = 680985893855232. Its totient is φ = 187630899960000.

The previous prime is 414024314444177. The next prime is 414024314444263. The reversal of 414024314444234 is 432444413420414.

It is a super-2 number, since 2×414024314444234² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7249946309 + ... + 7250003415.

It is an arithmetic number, because the mean of its divisors is an integer number (10640404591488).

Almost surely, 2^{414024314444234} is an apocalyptic number.

414024314444234 is a deficient number, since it is larger than the sum of its proper divisors (266961579410998).

414024314444234 is a wasteful number, since it uses less digits than its factorization.

414024314444234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73091.

The product of its (nonzero) digits is 2359296, while the sum is 44.

Adding to 414024314444234 its reverse (432444413420414), we get a palindrome (846468727864648).

The spelling of 414024314444234 in words is "four hundred fourteen trillion, twenty-four billion, three hundred fourteen million, four hundred forty-four thousand, two hundred thirty-four".