344130135214400 has 42 divisors (see below), whose sum is σ = 846775213965870. Its totient is φ = 137652054085120.

The previous prime is 344130135214399. The next prime is 344130135214417. The reversal of 344130135214400 is 4412531031443.

It can be written as a sum of positive squares in 3 ways, for example, as 35388126259264 + 308742008955136 = 5948792^2 + 17571056^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107540665655 + ... + 107540668854.

It is an arithmetic number, because the mean of its divisors is an integer number (20161314618235).

Almost surely, 2^{344130135214400} is an apocalyptic number.

It is an amenable number.

344130135214400 is an abundant number, since it is smaller than the sum of its proper divisors (502645078751470).

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

344130135214400 is a wasteful number, since it uses less digits than its factorization.

344130135214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215081334531 (or 215081334516 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 344130135214400 its reverse (4412531031443), we get a palindrome (348542666245843).

The spelling of 344130135214400 in words is "three hundred forty-four trillion, one hundred thirty billion, one hundred thirty-five million, two hundred fourteen thousand, four hundred".