242014334040 has 96 divisors (see below), whose sum is σ = 790622183520. Its totient is φ = 64202747904.

The previous prime is 242014334021. The next prime is 242014334069. The reversal of 242014334040 is 40433410242.

It is a happy number.

242014334040 is a `hidden beast` number, since 24 + 201 + 4 + 33 + 404 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 242014333995 and 242014334013.

It is a congruent number.

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, 1672132 + ... + 1811091.

It is an arithmetic number, because the mean of its divisors is an integer number (8235647745).

Almost surely, 2^242014334040 is an apocalyptic number.

242014334040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242014334040 is an abundant number, since it is smaller than the sum of its proper divisors (548607849480).

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

242014334040 is a wasteful number, since it uses less digits than its factorization.

242014334040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3483433 (or 3483426 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 242014334040 its reverse (40433410242), we get a palindrome (282447744282).

The spelling of 242014334040 in words is "two hundred forty-two billion, fourteen million, three hundred thirty-four thousand, forty".