242021917440 has 576 divisors, whose sum is σ = 896738774400. Its totient is φ = 61733339136.

The previous prime is 242021917393. The next prime is 242021917457. The reversal of 242021917440 is 44719120242.

It is a happy number.

242021917440 is a `hidden beast` number, since 2 + 4 + 20 + 2 + 191 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 242021917395 and 242021917404.

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, 113252052 + ... + 113254188.

It is an arithmetic number, because the mean of its divisors is an integer number (1556838150).

Almost surely, 2^242021917440 is an apocalyptic number.

242021917440 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 242021917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448369387200).

242021917440 is an abundant number, since it is smaller than the sum of its proper divisors (654716856960).

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

242021917440 is a wasteful number, since it uses less digits than its factorization.

242021917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 242021917440 in words is "two hundred forty-two billion, twenty-one million, nine hundred seventeen thousand, four hundred forty".