240305002302042 has 112 divisors (see below), whose sum is σ = 542745851040000. Its totient is φ = 79759816026912.

The previous prime is 240305002302023. The next prime is 240305002302091. The reversal of 240305002302042 is 240203200503042.

It is a happy number.

240305002302042 is a `hidden beast` number, since 2 + 40 + 30 + 500 + 2 + 30 + 20 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 240305002301997 and 240305002302015.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5839854084 + ... + 5839895232.

Almost surely, 2^{240305002302042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240305002302042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271372925520000).

240305002302042 is an abundant number, since it is smaller than the sum of its proper divisors (302440848737958).

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

240305002302042 is a wasteful number, since it uses less digits than its factorization.

240305002302042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58167 (or 58152 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 240305002302042 its reverse (240203200503042), we get a palindrome (480508202805084).

The spelling of 240305002302042 in words is "two hundred forty trillion, three hundred five billion, two million, three hundred two thousand, forty-two".