114241100112040 has 192 divisors, whose sum is σ = 284027856336000. Its totient is φ = 41322722158080.

The previous prime is 114241100112037. The next prime is 114241100112067. The reversal of 114241100112040 is 40211001142411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4340948962 + ... + 4340975278.

It is an arithmetic number, because the mean of its divisors is an integer number (1479311751750).

Almost surely, 2^{114241100112040} is an apocalyptic number.

114241100112040 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 114241100112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142013928168000).

114241100112040 is an abundant number, since it is smaller than the sum of its proper divisors (169786756223960).

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

114241100112040 is a wasteful number, since it uses less digits than its factorization.

114241100112040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31056 (or 31041 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 114241100112040 its reverse (40211001142411), we get a palindrome (154452101254451).

The spelling of 114241100112040 in words is "one hundred fourteen trillion, two hundred forty-one billion, one hundred million, one hundred twelve thousand, forty".