243940709376000 has 6720 divisors, whose sum is σ = 1204276227073920. Its totient is φ = 48759924326400.

The previous prime is 243940709375999. The next prime is 243940709376059. The reversal of 243940709376000 is 673907049342.

243940709376000 is a `hidden beast` number, since 24 + 3 + 9 + 4 + 0 + 7 + 0 + 9 + 3 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 12838984703991 + ... + 12838984704009.

It is an arithmetic number, because the mean of its divisors is an integer number (179207771886).

Almost surely, 2^{243940709376000} is an apocalyptic number.

243940709376000 is a gapful number since it is divisible by the number (20) 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 243940709376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602138113536960).

243940709376000 is an abundant number, since it is smaller than the sum of its proper divisors (960335517697920).

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

243940709376000 is an frugal number, since it uses more digits than its factorization.

243940709376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 243940709376000 in words is "two hundred forty-three trillion, nine hundred forty billion, seven hundred nine million, three hundred seventy-six thousand".