243971609040 has 320 divisors, whose sum is σ = 893098552320. Its totient is φ = 61003653120.

The previous prime is 243971608999. The next prime is 243971609047. The reversal of 243971609040 is 40906179342.

It is a happy number.

243971609040 is a `hidden beast` number, since 2 + 4 + 39 + 7 + 1 + 609 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243971609047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9938862 + ... + 9963378.

It is an arithmetic number, because the mean of its divisors is an integer number (2790932976).

Almost surely, 2^243971609040 is an apocalyptic number.

243971609040 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 243971609040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446549276160).

243971609040 is an abundant number, since it is smaller than the sum of its proper divisors (649126943280).

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

243971609040 is a wasteful number, since it uses less digits than its factorization.

243971609040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24827 (or 24815 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 243971609040 in words is "two hundred forty-three billion, nine hundred seventy-one million, six hundred nine thousand, forty".