114442204404000 has 384 divisors, whose sum is σ = 430521726136320. Its totient is φ = 26283376512000.

The previous prime is 114442204403987. The next prime is 114442204404037. The reversal of 114442204404000 is 404402244411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20307432 + ... + 25323431.

It is an arithmetic number, because the mean of its divisors is an integer number (1121150328480).

Almost surely, 2^{114442204404000} is an apocalyptic number.

114442204404000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114442204404000 is an abundant number, since it is smaller than the sum of its proper divisors (316079521732320).

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

114442204404000 is a wasteful number, since it uses less digits than its factorization.

114442204404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45630921 (or 45630903 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 114442204404000 its reverse (404402244411), we get a palindrome (114846606648411).

The spelling of 114442204404000 in words is "one hundred fourteen trillion, four hundred forty-two billion, two hundred four million, four hundred four thousand".