241240433200000 has 384 divisors, whose sum is σ = 657521013149280. Its totient is φ = 87613056000000.

The previous prime is 241240433199979. The next prime is 241240433200007. The reversal of 241240433200000 is 2334042142.

It is a happy number.

It is a super-2 number, since 2×241240433200000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241240433200007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316819735 + ... + 317580265.

Almost surely, 2^{241240433200000} is an apocalyptic number.

241240433200000 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 241240433200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328760506574640).

241240433200000 is an abundant number, since it is smaller than the sum of its proper divisors (416280579949280).

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

241240433200000 is an frugal number, since it uses more digits than its factorization.

241240433200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760644 (or 760612 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 241240433200000 its reverse (2334042142), we get a palindrome (241242767242142).

The spelling of 241240433200000 in words is "two hundred forty-one trillion, two hundred forty billion, four hundred thirty-three million, two hundred thousand".