344242122224440 has 64 divisors (see below), whose sum is σ = 844961002168320. Its totient is φ = 125178499344000.

The previous prime is 344242122224389. The next prime is 344242122224471. The reversal of 344242122224440 is 44422221242443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 344242122224393 and 344242122224402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134832145 + ... + 137361535.

It is an arithmetic number, because the mean of its divisors is an integer number (13202515658880).

Almost surely, 2^{344242122224440} is an apocalyptic number.

It is an amenable number.

344242122224440 is an abundant number, since it is smaller than the sum of its proper divisors (500718879943880).

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

344242122224440 is a wasteful number, since it uses less digits than its factorization.

344242122224440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838724 (or 2838720 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 40.

Adding to 344242122224440 its reverse (44422221242443), we get a palindrome (388664343466883).

The spelling of 344242122224440 in words is "three hundred forty-four trillion, two hundred forty-two billion, one hundred twenty-two million, two hundred twenty-four thousand, four hundred forty".