244214313040434 has 128 divisors (see below), whose sum is σ = 544567398727680. Its totient is φ = 72383276908800.

The previous prime is 244214313040403. The next prime is 244214313040441. The reversal of 244214313040434 is 434040313412442.

It is a happy number.

It is a super-2 number, since 2×244214313040434² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 244214313040392 and 244214313040401.

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 63 ways as a sum of consecutive naturals, for example, 1670442279 + ... + 1670588469.

It is an arithmetic number, because the mean of its divisors is an integer number (4254432802560).

Almost surely, 2^{244214313040434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244214313040434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272283699363840).

244214313040434 is an abundant number, since it is smaller than the sum of its proper divisors (300353085687246).

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

244214313040434 is a wasteful number, since it uses less digits than its factorization.

244214313040434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147736.

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 244214313040434 its reverse (434040313412442), we get a palindrome (678254626452876).

The spelling of 244214313040434 in words is "two hundred forty-four trillion, two hundred fourteen billion, three hundred thirteen million, forty thousand, four hundred thirty-four".