42241333330240 has 112 divisors (see below), whose sum is σ = 109748821253760. Its totient is φ = 15358055086080.

The previous prime is 42241333330237. The next prime is 42241333330243. The reversal of 42241333330240 is 4203333314224.

It is an interprime number because it is at equal distance from previous prime (42241333330237) and next prime (42241333330243).

It is a junction number, because it is equal to n+sod(n) for n = 42241333330196 and 42241333330205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42241333330243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21381406 + ... + 23273314.

Almost surely, 2^{42241333330240} is an apocalyptic number.

42241333330240 is a gapful number since it is divisible by the number (40) 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 42241333330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54874410626880).

42241333330240 is an abundant number, since it is smaller than the sum of its proper divisors (67507487923520).

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

42241333330240 is a wasteful number, since it uses less digits than its factorization.

42241333330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898280 (or 1898270 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 34.

Adding to 42241333330240 its reverse (4203333314224), we get a palindrome (46444666644464).

The spelling of 42241333330240 in words is "forty-two trillion, two hundred forty-one billion, three hundred thirty-three million, three hundred thirty thousand, two hundred forty".