114210303441000 has 1024 divisors, whose sum is σ = 405640588953600. Its totient is φ = 26543075328000.

The previous prime is 114210303440999. The next prime is 114210303441029. The reversal of 114210303441000 is 144303012411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27474210922 + ... + 27474215078.

It is an arithmetic number, because the mean of its divisors is an integer number (396133387650).

Almost surely, 2^{114210303441000} is an apocalyptic number.

114210303441000 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 114210303441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202820294476800).

114210303441000 is an abundant number, since it is smaller than the sum of its proper divisors (291430285512600).

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

114210303441000 is a wasteful number, since it uses less digits than its factorization.

114210303441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4607 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114210303441000 its reverse (144303012411), we get a palindrome (114354606453411).

The spelling of 114210303441000 in words is "one hundred fourteen trillion, two hundred ten billion, three hundred three million, four hundred forty-one thousand".