242402033040 has 120 divisors (see below), whose sum is σ = 798249414720. Its totient is φ = 60838139904.

The previous prime is 242402033039. The next prime is 242402033053. The reversal of 242402033040 is 40330204242.

242402033040 is digitally balanced in base 3, 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 242402033040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1678060 + ... + 1816779.

It is an arithmetic number, because the mean of its divisors is an integer number (6652078456).

Almost surely, 2^242402033040 is an apocalyptic number.

242402033040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242402033040 is an abundant number, since it is smaller than the sum of its proper divisors (555847381680).

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

242402033040 is a wasteful number, since it uses less digits than its factorization.

242402033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494889 (or 3494866 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 242402033040 its reverse (40330204242), we get a palindrome (282732237282).

The spelling of 242402033040 in words is "two hundred forty-two billion, four hundred two million, thirty-three thousand, forty".