114350025222440 has 128 divisors (see below), whose sum is σ = 296199378720000. Its totient is φ = 38918273568768.

The previous prime is 114350025222361. The next prime is 114350025222443. The reversal of 114350025222440 is 44222520053411.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 114350025222440.

It is not an unprimeable number, because it can be changed into a prime (114350025222443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285823184 + ... + 286222976.

It is an arithmetic number, because the mean of its divisors is an integer number (2314057646250).

Almost surely, 2^{114350025222440} is an apocalyptic number.

114350025222440 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 114350025222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148099689360000).

114350025222440 is an abundant number, since it is smaller than the sum of its proper divisors (181849353497560).

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

114350025222440 is a wasteful number, since it uses less digits than its factorization.

114350025222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407299 (or 407295 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 114350025222440 its reverse (44222520053411), we get a palindrome (158572545275851).

The spelling of 114350025222440 in words is "one hundred fourteen trillion, three hundred fifty billion, twenty-five million, two hundred twenty-two thousand, four hundred forty".