243214251234240 has 896 divisors, whose sum is σ = 957173952430080. Its totient is φ = 51441194188800.

The previous prime is 243214251234193. The next prime is 243214251234247. The reversal of 243214251234240 is 42432152412342.

It is a happy number.

243214251234240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243214251234247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1124077747 + ... + 1124294093.

It is an arithmetic number, because the mean of its divisors is an integer number (1068274500480).

Almost surely, 2^{243214251234240} is an apocalyptic number.

243214251234240 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 243214251234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478586976215040).

243214251234240 is an abundant number, since it is smaller than the sum of its proper divisors (713959701195840).

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

243214251234240 is a wasteful number, since it uses less digits than its factorization.

243214251234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216841 (or 216831 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 39.

The spelling of 243214251234240 in words is "two hundred forty-three trillion, two hundred fourteen billion, two hundred fifty-one million, two hundred thirty-four thousand, two hundred forty".