114444420011440 has 80 divisors (see below), whose sum is σ = 274828472352000. Its totient is φ = 44274958663680.

The previous prime is 114444420011413. The next prime is 114444420011479. The reversal of 114444420011440 is 44110024444411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 114444420011396 and 114444420011405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9388065 + ... + 17805184.

It is an arithmetic number, because the mean of its divisors is an integer number (3435355904400).

Almost surely, 2^{114444420011440} is an apocalyptic number.

114444420011440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114444420011440 is an abundant number, since it is smaller than the sum of its proper divisors (160384052340560).

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

114444420011440 is a wasteful number, since it uses less digits than its factorization.

114444420011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27194990 (or 27194984 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 34.

Adding to 114444420011440 its reverse (44110024444411), we get a palindrome (158554444455851).

The spelling of 114444420011440 in words is "one hundred fourteen trillion, four hundred forty-four billion, four hundred twenty million, eleven thousand, four hundred forty".