34414302210414 has 256 divisors, whose sum is σ = 84180131020800. Its totient is φ = 9161269641216.

The previous prime is 34414302210391. The next prime is 34414302210443. The reversal of 34414302210414 is 41401220341443.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23783207439 + ... + 23783208885.

It is an arithmetic number, because the mean of its divisors is an integer number (328828636800).

Almost surely, 2^{34414302210414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34414302210414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42090065510400).

34414302210414 is an abundant number, since it is smaller than the sum of its proper divisors (49765828810386).

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

34414302210414 is a wasteful number, since it uses less digits than its factorization.

34414302210414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 34414302210414 its reverse (41401220341443), we get a palindrome (75815522551857).

The spelling of 34414302210414 in words is "thirty-four trillion, four hundred fourteen billion, three hundred two million, two hundred ten thousand, four hundred fourteen".