344411130040340 has 144 divisors (see below), whose sum is σ = 827159306455440. Its totient is φ = 120222802022400.

The previous prime is 344411130040319. The next prime is 344411130040343. The reversal of 344411130040340 is 43040031114443.

It can be written as a sum of positive squares in 8 ways, for example, as 617751984784 + 343793378055556 = 785972^2 + 18541666^2 .

It is a junction number, because it is equal to n+sod(n) for n = 344411130040297 and 344411130040306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344411130040343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2042501 + ... + 26324780.

It is an arithmetic number, because the mean of its divisors is an integer number (5744161850385).

Almost surely, 2^{344411130040340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344411130040340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413579653227720).

344411130040340 is an abundant number, since it is smaller than the sum of its proper divisors (482748176415100).

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

344411130040340 is a wasteful number, since it uses less digits than its factorization.

344411130040340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28367514 (or 28367501 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 344411130040340 its reverse (43040031114443), we get a palindrome (387451161154783).

The spelling of 344411130040340 in words is "three hundred forty-four trillion, four hundred eleven billion, one hundred thirty million, forty thousand, three hundred forty".