114410343040000 has 330 divisors, whose sum is σ = 332455165378710. Its totient is φ = 39226392576000.

The previous prime is 114410343039977. The next prime is 114410343040001. The reversal of 114410343040000 is 40343014411.

It can be written as a sum of positive squares in 5 ways, for example, as 52920154341376 + 61490188698624 = 7274624^2 + 7841568^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (114410343040001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 29535856 + ... + 33184144.

It is an arithmetic number, because the mean of its divisors is an integer number (1007439895087).

Almost surely, 2^{114410343040000} is an apocalyptic number.

114410343040000 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 114410343040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166227582689355).

114410343040000 is an abundant number, since it is smaller than the sum of its proper divisors (218044822338710).

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

114410343040000 is an frugal number, since it uses more digits than its factorization.

114410343040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648343 (or 3648303 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 114410343040000 its reverse (40343014411), we get a palindrome (114450686054411).

The spelling of 114410343040000 in words is "one hundred fourteen trillion, four hundred ten billion, three hundred forty-three million, forty thousand".