114201003012440 has 64 divisors (see below), whose sum is σ = 257548491648000. Its totient is φ = 45574456600960.

The previous prime is 114201003012433. The next prime is 114201003012479. The reversal of 114201003012440 is 44210300102411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68684441 + ... + 70327479.

It is an arithmetic number, because the mean of its divisors is an integer number (4024195182000).

Almost surely, 2^{114201003012440} is an apocalyptic number.

114201003012440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114201003012440 is an abundant number, since it is smaller than the sum of its proper divisors (143347488635560).

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

114201003012440 is a wasteful number, since it uses less digits than its factorization.

114201003012440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647080 (or 1647076 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 114201003012440 its reverse (44210300102411), we get a palindrome (158411303114851).

The spelling of 114201003012440 in words is "one hundred fourteen trillion, two hundred one billion, three million, twelve thousand, four hundred forty".