240305042304120 has 256 divisors, whose sum is σ = 761459781888000. Its totient is φ = 60500606939136.

The previous prime is 240305042304043. The next prime is 240305042304143. The reversal of 240305042304120 is 21403240503042.

240305042304120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2763067996 + ... + 2763154964.

It is an arithmetic number, because the mean of its divisors is an integer number (2974452273000).

Almost surely, 2^{240305042304120} is an apocalyptic number.

240305042304120 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 240305042304120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380729890944000).

240305042304120 is an abundant number, since it is smaller than the sum of its proper divisors (521154739583880).

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

240305042304120 is a wasteful number, since it uses less digits than its factorization.

240305042304120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91142 (or 91138 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 240305042304120 its reverse (21403240503042), we get a palindrome (261708282807162).

The spelling of 240305042304120 in words is "two hundred forty trillion, three hundred five billion, forty-two million, three hundred four thousand, one hundred twenty".