412214343433344 has 96 divisors (see below), whose sum is σ = 1186270088240640. Its totient is φ = 137395470620160.

The previous prime is 412214343433267. The next prime is 412214343433349. The reversal of 412214343433344 is 443334343412214.

412214343433344 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 143 + 43 + 433 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 412214343433344.

It is not an unprimeable number, because it can be changed into a prime (412214343433349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4895889 + ... + 29127279.

It is an arithmetic number, because the mean of its divisors is an integer number (12356980085840).

Almost surely, 2^{412214343433344} is an apocalyptic number.

It is an amenable number.

412214343433344 is an abundant number, since it is smaller than the sum of its proper divisors (774055744807296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412214343433344 is a wasteful number, since it uses less digits than its factorization.

412214343433344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24246178 (or 24246163 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 45.

Adding to 412214343433344 its reverse (443334343412214), we get a palindrome (855548686845558).

The spelling of 412214343433344 in words is "four hundred twelve trillion, two hundred fourteen billion, three hundred forty-three million, four hundred thirty-three thousand, three hundred forty-four".