243381335040 has 1056 divisors, whose sum is σ = 954072048384. Its totient is φ = 59241922560.

The previous prime is 243381335009. The next prime is 243381335137. The reversal of 243381335040 is 40533183342.

243381335040 is a `hidden beast` number, since 2 + 43 + 3 + 81 + 33 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 243381334986 and 243381335004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 782576485 + ... + 782576795.

Almost surely, 2^243381335040 is an apocalyptic number.

243381335040 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 243381335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477036024192).

243381335040 is an abundant number, since it is smaller than the sum of its proper divisors (710690713344).

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

243381335040 is a wasteful number, since it uses less digits than its factorization.

243381335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 243381335040 in words is "two hundred forty-three billion, three hundred eighty-one million, three hundred thirty-five thousand, forty".