114041102044220 has 288 divisors, whose sum is σ = 270162558864576. Its totient is φ = 40394585088000.

The previous prime is 114041102044157. The next prime is 114041102044271. The reversal of 114041102044220 is 22440201140411.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 114041102044220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1395179192 + ... + 1395260928.

It is an arithmetic number, because the mean of its divisors is an integer number (938064440502).

Almost surely, 2^{114041102044220} is an apocalyptic number.

114041102044220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114041102044220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135081279432288).

114041102044220 is an abundant number, since it is smaller than the sum of its proper divisors (156121456820356).

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

114041102044220 is a wasteful number, since it uses less digits than its factorization.

114041102044220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82001 (or 81986 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 114041102044220 its reverse (22440201140411), we get a palindrome (136481303184631).

The spelling of 114041102044220 in words is "one hundred fourteen trillion, forty-one billion, one hundred two million, forty-four thousand, two hundred twenty".