242723522564040 has 1024 divisors, whose sum is σ = 875191910400000. Its totient is φ = 52710970281984.

The previous prime is 242723522563997. The next prime is 242723522564051. The reversal of 242723522564040 is 40465225327242.

It is a super-2 number, since 2×242723522564040² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 62125291767 + ... + 62125295673.

It is an arithmetic number, because the mean of its divisors is an integer number (854679600000).

Almost surely, 2^{242723522564040} is an apocalyptic number.

242723522564040 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 242723522564040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437595955200000).

242723522564040 is an abundant number, since it is smaller than the sum of its proper divisors (632468387835960).

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

242723522564040 is a wasteful number, since it uses less digits than its factorization.

242723522564040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 48.

The spelling of 242723522564040 in words is "two hundred forty-two trillion, seven hundred twenty-three billion, five hundred twenty-two million, five hundred sixty-four thousand, forty".