4205161842 has 64 divisors (see below), whose sum is σ = 10018504704. Its totient is φ = 1151392320.

The previous prime is 4205161841. The next prime is 4205161867. The reversal of 4205161842 is 2481615024.

It is a happy number.

It is a super-2 number, since 2×4205161842² = 35366772234825665928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4205161841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 118428 + ... + 149784.

It is an arithmetic number, because the mean of its divisors is an integer number (156539136).

Almost surely, 2^4205161842 is an apocalyptic number.

4205161842 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4205161842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009252352).

4205161842 is an abundant number, since it is smaller than the sum of its proper divisors (5813342862).

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

4205161842 is a wasteful number, since it uses less digits than its factorization.

4205161842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31503.

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 4205161842 is about 64847.2192310511. The cubic root of 4205161842 is about 1614.0893487418.

Adding to 4205161842 its reverse (2481615024), we get a palindrome (6686776866).

The spelling of 4205161842 in words is "four billion, two hundred five million, one hundred sixty-one thousand, eight hundred forty-two".