243161202493440 has 960 divisors, whose sum is σ = 1086626909047680. Its totient is φ = 50526989844480.

The previous prime is 243161202493439. The next prime is 243161202493459. The reversal of 243161202493440 is 44394202161342.

243161202493440 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 61 + 2 + 0 + 249 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 61963224 + ... + 65770536.

It is an arithmetic number, because the mean of its divisors is an integer number (1131903030258).

Almost surely, 2^{243161202493440} is an apocalyptic number.

243161202493440 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 243161202493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543313454523840).

243161202493440 is an abundant number, since it is smaller than the sum of its proper divisors (843465706554240).

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

243161202493440 is a wasteful number, since it uses less digits than its factorization.

243161202493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807370 (or 3807341 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 243161202493440 in words is "two hundred forty-three trillion, one hundred sixty-one billion, two hundred two million, four hundred ninety-three thousand, four hundred forty".