42834097296 has 75 divisors (see below), whose sum is σ = 123995873001. Its totient is φ = 14275548864.

The previous prime is 42834097289. The next prime is 42834097297. The reversal of 42834097296 is 69279043824.

The square root of 42834097296 is 206964.

It is a perfect power (a square), and thus also a powerful number.

42834097296 is a `hidden beast` number, since 4 + 2 + 8 + 340 + 9 + 7 + 296 = 666.

It can be written as a sum of positive squares in only one way, i.e., 727057296 + 42107040000 = 26964^2 + 205200^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42834097297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7447830 + ... + 7453578.

Almost surely, 2^42834097296 is an apocalyptic number.

42834097296 is the 206964-th square number.

It is an amenable number.

42834097296 is an abundant number, since it is smaller than the sum of its proper divisors (81161775705).

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

42834097296 is an frugal number, since it uses more digits than its factorization.

42834097296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11518 (or 5754 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 42834097296 in words is "forty-two billion, eight hundred thirty-four million, ninety-seven thousand, two hundred ninety-six".