340241314320 has 640 divisors, whose sum is σ = 1280875161600. Its totient is φ = 82684772352.

The previous prime is 340241314319. The next prime is 340241314351. The reversal of 340241314320 is 23413142043.

340241314320 is a `hidden beast` number, since 3 + 4 + 0 + 24 + 1 + 314 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 153745534 + ... + 153747746.

It is an arithmetic number, because the mean of its divisors is an integer number (2001367440).

Almost surely, 2^340241314320 is an apocalyptic number.

340241314320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340241314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640437580800).

340241314320 is an abundant number, since it is smaller than the sum of its proper divisors (940633847280).

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

340241314320 is a wasteful number, since it uses less digits than its factorization.

340241314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 340241314320 its reverse (23413142043), we get a palindrome (363654456363).

The spelling of 340241314320 in words is "three hundred forty billion, two hundred forty-one million, three hundred fourteen thousand, three hundred twenty".