243264831040 has 224 divisors, whose sum is σ = 760224844800. Its totient is φ = 71831992320.

The previous prime is 243264830953. The next prime is 243264831041. The reversal of 243264831040 is 40138462342.

243264831040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (243264831041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208351 + ... + 727969.

Almost surely, 2^243264831040 is an apocalyptic number.

243264831040 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 243264831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380112422400).

243264831040 is an abundant number, since it is smaller than the sum of its proper divisors (516960013760).

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

243264831040 is a wasteful number, since it uses less digits than its factorization.

243264831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519673 (or 519663 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 243264831040 in words is "two hundred forty-three billion, two hundred sixty-four million, eight hundred thirty-one thousand, forty".