240064140765060 has 240 divisors, whose sum is σ = 768611998777392. Its totient is φ = 62706360729600.

The previous prime is 240064140765011. The next prime is 240064140765067. The reversal of 240064140765060 is 60567041460042.

240064140765060 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 64 + 14 + 0 + 76 + 506 + 0 = 666.

240064140765060 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 8 ways, for example, as 2812409496576 + 237251731268484 = 1677024^2 + 15402978^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 240064140764997 and 240064140765015.

It is not an unprimeable number, because it can be changed into a prime (240064140765067) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18775564 + ... + 28855676.

Almost surely, 2^{240064140765060} is an apocalyptic number.

240064140765060 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 240064140765060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384305999388696).

240064140765060 is an abundant number, since it is smaller than the sum of its proper divisors (528547858012332).

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

240064140765060 is a wasteful number, since it uses less digits than its factorization.

240064140765060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10080436 (or 10080425 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 240064140765060 in words is "two hundred forty trillion, sixty-four billion, one hundred forty million, seven hundred sixty-five thousand, sixty".