243626813821440 has 1600 divisors, whose sum is σ = 1057057702905600. Its totient is φ = 52353637023744.

The previous prime is 243626813821411. The next prime is 243626813821481. The reversal of 243626813821440 is 44128318626342.

It is a happy number.

243626813821440 is a `hidden beast` number, since 2 + 4 + 3 + 6 + 2 + 68 + 138 + 2 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25144676116 + ... + 25144685804.

It is an arithmetic number, because the mean of its divisors is an integer number (660661064316).

Almost surely, 2^{243626813821440} is an apocalyptic number.

243626813821440 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 243626813821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528528851452800).

243626813821440 is an abundant number, since it is smaller than the sum of its proper divisors (813430889084160).

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

243626813821440 is a wasteful number, since it uses less digits than its factorization.

243626813821440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10767 (or 10742 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 243626813821440 in words is "two hundred forty-three trillion, six hundred twenty-six billion, eight hundred thirteen million, eight hundred twenty-one thousand, four hundred forty".