339040708968000 has 448 divisors, whose sum is σ = 1205707885304832. Its totient is φ = 83450697523200.

The previous prime is 339040708967951. The next prime is 339040708968047. The reversal of 339040708968000 is 869807040933.

It is a happy number.

It is a super-2 number, since 2×339040708968000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6883631374 + ... + 6883680626.

It is an arithmetic number, because the mean of its divisors is an integer number (2691312243984).

Almost surely, 2^{339040708968000} is an apocalyptic number.

339040708968000 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 339040708968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602853942652416).

339040708968000 is an abundant number, since it is smaller than the sum of its proper divisors (866667176336832).

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

339040708968000 is a wasteful number, since it uses less digits than its factorization.

339040708968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71359 (or 71339 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 339040708968000 in words is "three hundred thirty-nine trillion, forty billion, seven hundred eight million, nine hundred sixty-eight thousand".