242334035040 has 48 divisors (see below), whose sum is σ = 763352211888. Its totient is φ = 64622409216.

The previous prime is 242334035017. The next prime is 242334035051. The reversal of 242334035040 is 40530433242.

242334035040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 242334034989 and 242334035007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252430807 + ... + 252431766.

It is an arithmetic number, because the mean of its divisors is an integer number (15903171081).

Almost surely, 2^242334035040 is an apocalyptic number.

242334035040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242334035040 is an abundant number, since it is smaller than the sum of its proper divisors (521018176848).

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

242334035040 is a wasteful number, since it uses less digits than its factorization.

242334035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504862591 (or 504862583 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 242334035040 its reverse (40530433242), we get a palindrome (282864468282).

The spelling of 242334035040 in words is "two hundred forty-two billion, three hundred thirty-four million, thirty-five thousand, forty".