114002441010 has 128 divisors (see below), whose sum is σ = 317462976000. Its totient is φ = 29056997376.

The previous prime is 114002440973. The next prime is 114002441011. The reversal of 114002441010 is 10144200411.

114002441010 is a `hidden beast` number, since 1 + 1 + 400 + 244 + 10 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (114002441011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9240526 + ... + 9252854.

It is an arithmetic number, because the mean of its divisors is an integer number (2480179500).

Almost surely, 2^114002441010 is an apocalyptic number.

114002441010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114002441010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158731488000).

114002441010 is an abundant number, since it is smaller than the sum of its proper divisors (203460534990).

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

114002441010 is a wasteful number, since it uses less digits than its factorization.

114002441010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13857 (or 13851 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 114002441010 its reverse (10144200411), we get a palindrome (124146641421).

The spelling of 114002441010 in words is "one hundred fourteen billion, two million, four hundred forty-one thousand, ten".