344201344133240 has 128 divisors (see below), whose sum is σ = 881613542085120. Its totient is φ = 119719117478400.

The previous prime is 344201344133209. The next prime is 344201344133249. The reversal of 344201344133240 is 42331443102443.

It is a super-2 number, since 2×344201344133240² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344201344133194 and 344201344133203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344201344133249) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 410827955 + ... + 411664925.

It is an arithmetic number, because the mean of its divisors is an integer number (6887605797540).

Almost surely, 2^{344201344133240} is an apocalyptic number.

It is an amenable number.

344201344133240 is an abundant number, since it is smaller than the sum of its proper divisors (537412197951880).

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

344201344133240 is a wasteful number, since it uses less digits than its factorization.

344201344133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877653 (or 877649 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

Adding to 344201344133240 its reverse (42331443102443), we get a palindrome (386532787235683).

The spelling of 344201344133240 in words is "three hundred forty-four trillion, two hundred one billion, three hundred forty-four million, one hundred thirty-three thousand, two hundred forty".