4122393258690 has 384 divisors, whose sum is σ = 12520701453312. Its totient is φ = 921643868160.

The previous prime is 4122393258689. The next prime is 4122393258701. The reversal of 4122393258690 is 968523932214.

4122393258690 is a `hidden beast` number, since 4 + 1 + 2 + 23 + 9 + 32 + 586 + 9 + 0 = 666.

It is a super-2 number, since 2×4122393258690² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3332572752 + ... + 3332573988.

It is an arithmetic number, because the mean of its divisors is an integer number (32605993368).

Almost surely, 2^{4122393258690} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122393258690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260350726656).

4122393258690 is an abundant number, since it is smaller than the sum of its proper divisors (8398308194622).

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

4122393258690 is a wasteful number, since it uses less digits than its factorization.

4122393258690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 4122393258690 in words is "four trillion, one hundred twenty-two billion, three hundred ninety-three million, two hundred fifty-eight thousand, six hundred ninety".