340333868160 has 1024 divisors, whose sum is σ = 1449458841600. Its totient is φ = 74364272640.

The previous prime is 340333868143. The next prime is 340333868179. The reversal of 340333868160 is 61868333043.

340333868160 is a `hidden beast` number, since 3 + 403 + 3 + 3 + 86 + 8 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 106253119 + ... + 106256321.

It is an arithmetic number, because the mean of its divisors is an integer number (1415487150).

Almost surely, 2^340333868160 is an apocalyptic number.

340333868160 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 340333868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724729420800).

340333868160 is an abundant number, since it is smaller than the sum of its proper divisors (1109124973440).

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

340333868160 is a wasteful number, since it uses less digits than its factorization.

340333868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 340333868160 in words is "three hundred forty billion, three hundred thirty-three million, eight hundred sixty-eight thousand, one hundred sixty".