242302040465040 has 120 divisors (see below), whose sum is σ = 813943324616760. Its totient is φ = 64597019461632.

The previous prime is 242302040465003. The next prime is 242302040465077. The reversal of 242302040465040 is 40564040203242.

242302040465040 is a `hidden beast` number, since 2 + 42 + 30 + 2 + 0 + 40 + 46 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (242302040465003) and next prime (242302040465077).

It can be written as a sum of positive squares in 4 ways, for example, as 29997441368064 + 212304599096976 = 5476992^2 + 14570676^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 242302040464986 and 242302040465004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41139355 + ... + 46658874.

It is an arithmetic number, because the mean of its divisors is an integer number (6782861038473).

Almost surely, 2^{242302040465040} is an apocalyptic number.

242302040465040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242302040465040 is an abundant number, since it is smaller than the sum of its proper divisors (571641284151720).

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

242302040465040 is a wasteful number, since it uses less digits than its factorization.

242302040465040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87802081 (or 87802072 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 242302040465040 its reverse (40564040203242), we get a palindrome (282866080668282).

The spelling of 242302040465040 in words is "two hundred forty-two trillion, three hundred two billion, forty million, four hundred sixty-five thousand, forty".