242066442119040 has 1536 divisors, whose sum is σ = 1101019765248000. Its totient is φ = 47531636490240.

The previous prime is 242066442119017. The next prime is 242066442119113. The reversal of 242066442119040 is 40911244660242.

242066442119040 is a `hidden beast` number, since 2 + 4 + 20 + 66 + 442 + 1 + 1 + 90 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 604317546 + ... + 604717974.

It is an arithmetic number, because the mean of its divisors is an integer number (716809743000).

Almost surely, 2^{242066442119040} is an apocalyptic number.

242066442119040 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 242066442119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550509882624000).

242066442119040 is an abundant number, since it is smaller than the sum of its proper divisors (858953323128960).

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

242066442119040 is a wasteful number, since it uses less digits than its factorization.

242066442119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400548 (or 400533 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

Adding to 242066442119040 its reverse (40911244660242), we get a palindrome (282977686779282).

The spelling of 242066442119040 in words is "two hundred forty-two trillion, sixty-six billion, four hundred forty-two million, one hundred nineteen thousand, forty".