339243240960 has 1280 divisors, whose sum is σ = 1352913408000. Its totient is φ = 81051549696.

The previous prime is 339243240907. The next prime is 339243240977. The reversal of 339243240960 is 69042342933.

339243240960 is a `hidden beast` number, since 3 + 3 + 92 + 432 + 40 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

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, 4294218201 + ... + 4294218279.

It is an arithmetic number, because the mean of its divisors is an integer number (1056963600).

Almost surely, 2^339243240960 is an apocalyptic number.

339243240960 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 339243240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676456704000).

339243240960 is an abundant number, since it is smaller than the sum of its proper divisors (1013670167040).

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

339243240960 is an frugal number, since it uses more digits than its factorization.

339243240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 339243240960 in words is "three hundred thirty-nine billion, two hundred forty-three million, two hundred forty thousand, nine hundred sixty".