242217547440 has 320 divisors, whose sum is σ = 834613009920. Its totient is φ = 57613803520.

The previous prime is 242217547379. The next prime is 242217547471. The reversal of 242217547440 is 44745712242.

242217547440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×242217547440³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242217547392 and 242217547401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105448372 + ... + 105450668.

It is an arithmetic number, because the mean of its divisors is an integer number (2608165656).

Almost surely, 2^242217547440 is an apocalyptic number.

242217547440 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 242217547440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417306504960).

242217547440 is an abundant number, since it is smaller than the sum of its proper divisors (592395462480).

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

242217547440 is a wasteful number, since it uses less digits than its factorization.

242217547440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 42.

The spelling of 242217547440 in words is "two hundred forty-two billion, two hundred seventeen million, five hundred forty-seven thousand, four hundred forty".