339141784960 has 128 divisors (see below), whose sum is σ = 884752243200. Its totient is φ = 123284428800.

The previous prime is 339141784873. The next prime is 339141784963. The reversal of 339141784960 is 69487141933.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339141784963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29977705 + ... + 29989015.

It is an arithmetic number, because the mean of its divisors is an integer number (6912126900).

Almost surely, 2^339141784960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339141784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442376121600).

339141784960 is an abundant number, since it is smaller than the sum of its proper divisors (545610458240).

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

339141784960 is a wasteful number, since it uses less digits than its factorization.

339141784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15600 (or 15588 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 339141784960 in words is "three hundred thirty-nine billion, one hundred forty-one million, seven hundred eighty-four thousand, nine hundred sixty".