240340505521040 has 40 divisors (see below), whose sum is σ = 564552414275640. Its totient is φ = 95145107337216.

The previous prime is 240340505521009. The next prime is 240340505521079. The reversal of 240340505521040 is 40125505043042.

240340505521040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 77879071807744 + 162461433713296 = 8824912^2 + 12746036^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15485849555 + ... + 15485865074.

It is an arithmetic number, because the mean of its divisors is an integer number (14113810356891).

Almost surely, 2^{240340505521040} is an apocalyptic number.

240340505521040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240340505521040 is an abundant number, since it is smaller than the sum of its proper divisors (324211908754600).

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

240340505521040 is a wasteful number, since it uses less digits than its factorization.

240340505521040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30971714739 (or 30971714733 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 240340505521040 in words is "two hundred forty trillion, three hundred forty billion, five hundred five million, five hundred twenty-one thousand, forty".