340305142320 has 640 divisors, whose sum is σ = 1424608819200. Its totient is φ = 73524326400.

The previous prime is 340305142279. The next prime is 340305142339. The reversal of 340305142320 is 23241503043.

340305142320 is a `hidden beast` number, since 34 + 0 + 305 + 1 + 4 + 2 + 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, 8938525 + ... + 8976515.

It is an arithmetic number, because the mean of its divisors is an integer number (2225951280).

Almost surely, 2^340305142320 is an apocalyptic number.

340305142320 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 340305142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712304409600).

340305142320 is an abundant number, since it is smaller than the sum of its proper divisors (1084303676880).

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

340305142320 is a wasteful number, since it uses less digits than its factorization.

340305142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38066 (or 38054 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 340305142320 its reverse (23241503043), we get a palindrome (363546645363).

The spelling of 340305142320 in words is "three hundred forty billion, three hundred five million, one hundred forty-two thousand, three hundred twenty".