243240254400000 has 960 divisors, whose sum is σ = 951560805710592. Its totient is φ = 54431232000000.

The previous prime is 243240254399999. The next prime is 243240254400023. The reversal of 243240254400000 is 4452042342.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 686222815 + ... + 686577185.

Almost surely, 2^{243240254400000} is an apocalyptic number.

243240254400000 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 243240254400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475780402855296).

243240254400000 is an abundant number, since it is smaller than the sum of its proper divisors (708320551310592).

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

243240254400000 is an equidigital number, since it uses as much as digits as its factorization.

243240254400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354441 (or 354405 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The spelling of 243240254400000 in words is "two hundred forty-three trillion, two hundred forty billion, two hundred fifty-four million, four hundred thousand".