243087071063040 has 264 divisors, whose sum is σ = 842353914236640. Its totient is φ = 64818328633344.

The previous prime is 243087071062973. The next prime is 243087071063047. The reversal of 243087071063040 is 40360170780342.

243087071063040 is a `hidden beast` number, since 2 + 4 + 3 + 0 + 8 + 7 + 0 + 7 + 1 + 0 + 630 + 4 + 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 (243087071063047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632440197 + ... + 632824443.

Almost surely, 2^{243087071063040} is an apocalyptic number.

243087071063040 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 243087071063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421176957118320).

243087071063040 is an abundant number, since it is smaller than the sum of its proper divisors (599266843173600).

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

243087071063040 is a wasteful number, since it uses less digits than its factorization.

243087071063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398007 (or 397986 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 243087071063040 in words is "two hundred forty-three trillion, eighty-seven billion, seventy-one million, sixty-three thousand, forty".