114010020424000 has 56 divisors (see below), whose sum is σ = 282345815599848. Its totient is φ = 45604008166400.

The previous prime is 114010020423989. The next prime is 114010020424007. The reversal of 114010020424000 is 424020010411.

It can be written as a sum of positive squares in 4 ways, for example, as 23306339696896 + 90703680727104 = 4827664^2 + 9523848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114010020424007) 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 7 ways as a sum of consecutive naturals, for example, 7125618277 + ... + 7125634276.

It is an arithmetic number, because the mean of its divisors is an integer number (5041889564283).

Almost surely, 2^{114010020424000} is an apocalyptic number.

114010020424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114010020424000 is an abundant number, since it is smaller than the sum of its proper divisors (168335795175848).

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

114010020424000 is an equidigital number, since it uses as much as digits as its factorization.

114010020424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14251252580 (or 14251252560 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 114010020424000 its reverse (424020010411), we get a palindrome (114434040434411).

The spelling of 114010020424000 in words is "one hundred fourteen trillion, ten billion, twenty million, four hundred twenty-four thousand".