220041002340042 has 256 divisors, whose sum is σ = 512599633459200. Its totient is φ = 62401611202560.

The previous prime is 220041002340013. The next prime is 220041002340077. The reversal of 220041002340042 is 240043200140022.

It is a junction number, because it is equal to n+sod(n) for n = 220041002339994 and 220041002340021.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6649555917 + ... + 6649589007.

It is an arithmetic number, because the mean of its divisors is an integer number (2002342318200).

Almost surely, 2^{220041002340042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220041002340042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256299816729600).

220041002340042 is an abundant number, since it is smaller than the sum of its proper divisors (292558631119158).

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

220041002340042 is a wasteful number, since it uses less digits than its factorization.

220041002340042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33973.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 220041002340042 its reverse (240043200140022), we get a palindrome (460084202480064).

The spelling of 220041002340042 in words is "two hundred twenty trillion, forty-one billion, two million, three hundred forty thousand, forty-two".