34424133041214 has 192 divisors, whose sum is σ = 87499688500224. Its totient is φ = 9578353171968.

The previous prime is 34424133041167. The next prime is 34424133041261. The reversal of 34424133041214 is 41214033142443.

34424133041214 is a `hidden beast` number, since 3 + 4 + 424 + 13 + 3 + 0 + 4 + 1 + 214 = 666.

It is an interprime number because it is at equal distance from previous prime (34424133041167) and next prime (34424133041261).

It is a Curzon number.

It is a congruent number.

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, 1432953607 + ... + 1432977629.

It is an arithmetic number, because the mean of its divisors is an integer number (455727544272).

Almost surely, 2^{34424133041214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34424133041214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43749844250112).

34424133041214 is an abundant number, since it is smaller than the sum of its proper divisors (53075555459010).

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

34424133041214 is a wasteful number, since it uses less digits than its factorization.

34424133041214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26071 (or 26068 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 34424133041214 its reverse (41214033142443), we get a palindrome (75638166183657).

The spelling of 34424133041214 in words is "thirty-four trillion, four hundred twenty-four billion, one hundred thirty-three million, forty-one thousand, two hundred fourteen".