114110210012040 has 320 divisors, whose sum is σ = 418421008272960. Its totient is φ = 27661963553280.

The previous prime is 114110210012039. The next prime is 114110210012041. The reversal of 114110210012040 is 40210012011411.

114110210012040 is a `hidden beast` number, since 1 + 1 + 411 + 0 + 210 + 0 + 1 + 2 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (114110210012039) and next prime (114110210012041).

It is a super-3 number, since 3×114110210012040³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (114110210012041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1188439074 + ... + 1188535086.

It is an arithmetic number, because the mean of its divisors is an integer number (1307565650853).

Almost surely, 2^{114110210012040} is an apocalyptic number.

114110210012040 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 114110210012040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209210504136480).

114110210012040 is an abundant number, since it is smaller than the sum of its proper divisors (304310798260920).

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

114110210012040 is a wasteful number, since it uses less digits than its factorization.

114110210012040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129394 (or 129381 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 114110210012040 its reverse (40210012011411), we get a palindrome (154320222023451).

The spelling of 114110210012040 in words is "one hundred fourteen trillion, one hundred ten billion, two hundred ten million, twelve thousand, forty".