42348024791296 has 243 divisors, whose sum is σ = 99521870716989. Its totient is φ = 17932062081024.

The previous prime is 42348024791221. The next prime is 42348024791351. The reversal of 42348024791296 is 69219742084324.

The square root of 42348024791296 is 6507536.

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

It can be written as a sum of positive squares in only one way, i.e., 19015878918400 + 23332145872896 = 4360720^2 + 4830336^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 70697870805 + ... + 70697871403.

Almost surely, 2^{42348024791296} is an apocalyptic number.

42348024791296 is the 6507536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42348024791296

42348024791296 is an abundant number, since it is smaller than the sum of its proper divisors (57173845925693).

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

42348024791296 is an frugal number, since it uses more digits than its factorization.

42348024791296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 61.

The spelling of 42348024791296 in words is "forty-two trillion, three hundred forty-eight billion, twenty-four million, seven hundred ninety-one thousand, two hundred ninety-six".