264432300040242 has 48 divisors (see below), whose sum is σ = 574863886953720. Its totient is φ = 87847866433536.

The previous prime is 264432300040231. The next prime is 264432300040373. The reversal of 264432300040242 is 242040003234462.

264432300040242 is a `hidden beast` number, since 2 + 6 + 44 + 32 + 300 + 0 + 40 + 242 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 234755747271081 + 29676552769161 = 15321741^2 + 5447619^2 .

It is a junction number, because it is equal to n+sod(n) for n = 264432300040197 and 264432300040206.

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, 987178 + ... + 23018234.

Almost surely, 2^{264432300040242} is an apocalyptic number.

264432300040242 is an abundant number, since it is smaller than the sum of its proper divisors (310431586913478).

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

264432300040242 is a wasteful number, since it uses less digits than its factorization.

264432300040242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22033307 (or 22033304 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

The spelling of 264432300040242 in words is "two hundred sixty-four trillion, four hundred thirty-two billion, three hundred million, forty thousand, two hundred forty-two".