240305042255120 has 320 divisors, whose sum is σ = 610404988437504. Its totient is φ = 87719626874880.

The previous prime is 240305042255107. The next prime is 240305042255123. The reversal of 240305042255120 is 21552240503042.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (240305042255123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6606669254 + ... + 6606705626.

Almost surely, 2^{240305042255120} is an apocalyptic number.

240305042255120 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 240305042255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305202494218752).

240305042255120 is an abundant number, since it is smaller than the sum of its proper divisors (370099946182384).

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

240305042255120 is a wasteful number, since it uses less digits than its factorization.

240305042255120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38330 (or 38324 counting only the distinct ones).

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

Adding to 240305042255120 its reverse (21552240503042), we get a palindrome (261857282758162).

The spelling of 240305042255120 in words is "two hundred forty trillion, three hundred five billion, forty-two million, two hundred fifty-five thousand, one hundred twenty".