34190241024399 has 16 divisors (see below), whose sum is σ = 46819243940832. Its totient is φ = 22177370671488.

The previous prime is 34190241024391. The next prime is 34190241024421. The reversal of 34190241024399 is 99342014209143.

It is a happy number.

It is not a de Polignac number, because 34190241024399 - 2³ = 34190241024391 is a prime.

It is a super-2 number, since 2×34190241024399² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34190241024391) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46415857 + ... + 47146709.

It is an arithmetic number, because the mean of its divisors is an integer number (2926202746302).

Almost surely, 2^{34190241024399} is an apocalyptic number.

34190241024399 is a deficient number, since it is larger than the sum of its proper divisors (12629002916433).

34190241024399 is a wasteful number, since it uses less digits than its factorization.

34190241024399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152346.

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 34190241024399 in words is "thirty-four trillion, one hundred ninety billion, two hundred forty-one million, twenty-four thousand, three hundred ninety-nine".