242421241440 has 192 divisors, whose sum is σ = 878072541696. Its totient is φ = 55070502912.

The previous prime is 242421241421. The next prime is 242421241463. The reversal of 242421241440 is 44142124242.

It is a super-3 number, since 3×242421241440³ (a number of 35 digits) contains 333 as substring.

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 = 242421241398 and 242421241407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326364 + ... + 768996.

It is an arithmetic number, because the mean of its divisors is an integer number (4573294488).

Almost surely, 2^242421241440 is an apocalyptic number.

242421241440 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 242421241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439036270848).

242421241440 is an abundant number, since it is smaller than the sum of its proper divisors (635651300256).

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

242421241440 is a wasteful number, since it uses less digits than its factorization.

242421241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442821 (or 442813 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 242421241440 its reverse (44142124242), we get a palindrome (286563365682).

The spelling of 242421241440 in words is "two hundred forty-two billion, four hundred twenty-one million, two hundred forty-one thousand, four hundred forty".