34414224211400 has 384 divisors, whose sum is σ = 90748110499200. Its totient is φ = 12022507929600.

The previous prime is 34414224211399. The next prime is 34414224211421. The reversal of 34414224211400 is 411242241443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15140440664 + ... + 15140442936.

It is an arithmetic number, because the mean of its divisors is an integer number (236323204425).

Almost surely, 2^{34414224211400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34414224211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45374055249600).

34414224211400 is an abundant number, since it is smaller than the sum of its proper divisors (56333886287800).

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

34414224211400 is a wasteful number, since it uses less digits than its factorization.

34414224211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 34414224211400 its reverse (411242241443), we get a palindrome (34825466452843).

It can be divided in two parts, 344142 and 24211400, that added together give a palindrome (24555542).

The spelling of 34414224211400 in words is "thirty-four trillion, four hundred fourteen billion, two hundred twenty-four million, two hundred eleven thousand, four hundred".