242002123440 has 320 divisors, whose sum is σ = 938171953152. Its totient is φ = 50132966400.

The previous prime is 242002123439. The next prime is 242002123481. The reversal of 242002123440 is 44321200242.

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 242002123440.

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, 6097099 + ... + 6136661.

Almost surely, 2^242002123440 is an apocalyptic number.

242002123440 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 242002123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469085976576).

242002123440 is an abundant number, since it is smaller than the sum of its proper divisors (696169829712).

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

242002123440 is a wasteful number, since it uses less digits than its factorization.

242002123440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39928 (or 39922 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 242002123440 its reverse (44321200242), we get a palindrome (286323323682).

The spelling of 242002123440 in words is "two hundred forty-two billion, two million, one hundred twenty-three thousand, four hundred forty".