242735440533040 has 160 divisors (see below), whose sum is σ = 694821724813440. Its totient is φ = 76796889219072.

The previous prime is 242735440533037. The next prime is 242735440533043. The reversal of 242735440533040 is 40335044537242.

242735440533040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242735440533037) and next prime (242735440533043).

It is not an unprimeable number, because it can be changed into a prime (242735440533043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17090902 + ... + 27884938.

It is an arithmetic number, because the mean of its divisors is an integer number (4342635780084).

Almost surely, 2^{242735440533040} is an apocalyptic number.

242735440533040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242735440533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347410862406720).

242735440533040 is an abundant number, since it is smaller than the sum of its proper divisors (452086284280400).

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

242735440533040 is a wasteful number, since it uses less digits than its factorization.

242735440533040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10797159 (or 10797153 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 46.

The spelling of 242735440533040 in words is "two hundred forty-two trillion, seven hundred thirty-five billion, four hundred forty million, five hundred thirty-three thousand, forty".