114041034541140 has 288 divisors, whose sum is σ = 371796289804800. Its totient is φ = 26042091183360.

The previous prime is 114041034541127. The next prime is 114041034541169. The reversal of 114041034541140 is 41145430140411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21044661351 + ... + 21044666769.

It is an arithmetic number, because the mean of its divisors is an integer number (1290959339600).

Almost surely, 2^{114041034541140} is an apocalyptic number.

114041034541140 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 114041034541140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185898144902400).

114041034541140 is an abundant number, since it is smaller than the sum of its proper divisors (257755255263660).

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

114041034541140 is a wasteful number, since it uses less digits than its factorization.

114041034541140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10835 (or 10826 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 114041034541140 its reverse (41145430140411), we get a palindrome (155186464681551).

The spelling of 114041034541140 in words is "one hundred fourteen trillion, forty-one billion, thirty-four million, five hundred forty-one thousand, one hundred forty".