243097916040 has 1280 divisors, whose sum is σ = 1040212800000. Its totient is φ = 50697529344.

The previous prime is 243097916027. The next prime is 243097916041. The reversal of 243097916040 is 40619790342.

It is a happy number.

243097916040 is a `hidden beast` number, since 2 + 4 + 30 + 9 + 7 + 9 + 1 + 604 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (243097916041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 612337122 + ... + 612337518.

It is an arithmetic number, because the mean of its divisors is an integer number (812666250).

Almost surely, 2^243097916040 is an apocalyptic number.

243097916040 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 243097916040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520106400000).

243097916040 is an abundant number, since it is smaller than the sum of its proper divisors (797114883960).

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

243097916040 is a wasteful number, since it uses less digits than its factorization.

243097916040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 462 counting only the distinct ones).

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

The spelling of 243097916040 in words is "two hundred forty-three billion, ninety-seven million, nine hundred sixteen thousand, forty".