12442433024340 has 144 divisors (see below), whose sum is σ = 41326203784320. Its totient is φ = 3005134083840.

The previous prime is 12442433024321. The next prime is 12442433024363. The reversal of 12442433024340 is 4342033424421.

12442433024340 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 2 + 4 + 3 + 302 + 4 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12442433024295 and 12442433024304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11147784 + ... + 12213023.

It is an arithmetic number, because the mean of its divisors is an integer number (286987526280).

Almost surely, 2^{12442433024340} is an apocalyptic number.

12442433024340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12442433024340 is an abundant number, since it is smaller than the sum of its proper divisors (28883770759980).

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

12442433024340 is a wasteful number, since it uses less digits than its factorization.

12442433024340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23361102 (or 23361097 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 12442433024340 its reverse (4342033424421), we get a palindrome (16784466448761).

The spelling of 12442433024340 in words is "twelve trillion, four hundred forty-two billion, four hundred thirty-three million, twenty-four thousand, three hundred forty".