114144402030000 has 400 divisors, whose sum is σ = 391997665293696. Its totient is φ = 28512207360000.

The previous prime is 114144402029981. The next prime is 114144402030019. The reversal of 114144402030000 is 30204441411.

It is an interprime number because it is at equal distance from previous prime (114144402029981) and next prime (114144402030019).

It is a tau number, because it is divible by the number of its divisors (400).

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 79 ways as a sum of consecutive naturals, for example, 107079639 + ... + 108140361.

Almost surely, 2^{114144402030000} is an apocalyptic number.

114144402030000 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 114144402030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195998832646848).

114144402030000 is an abundant number, since it is smaller than the sum of its proper divisors (277853263263696).

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

114144402030000 is a wasteful number, since it uses less digits than its factorization.

114144402030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060982 (or 1060961 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 114144402030000 its reverse (30204441411), we get a palindrome (114174606471411).

The spelling of 114144402030000 in words is "one hundred fourteen trillion, one hundred forty-four billion, four hundred two million, thirty thousand".