241990822944000 has 6912 divisors, whose sum is σ = 1089223710382080. Its totient is φ = 52973744947200.

The previous prime is 241990822943999. The next prime is 241990822944007. The reversal of 241990822944000 is 449228099142.

It is a happy number.

241990822944000 is a `hidden beast` number, since 2 + 4 + 1 + 9 + 9 + 0 + 8 + 229 + 4 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-2 number, since 2×241990822944000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241990822944007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2494750751952 + ... + 2494750752048.

It is an arithmetic number, because the mean of its divisors is an integer number (157584448840).

Almost surely, 2^{241990822944000} is an apocalyptic number.

241990822944000 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 241990822944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544611855191040).

241990822944000 is an abundant number, since it is smaller than the sum of its proper divisors (847232887438080).

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

241990822944000 is a wasteful number, since it uses less digits than its factorization.

241990822944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 241990822944000 in words is "two hundred forty-one trillion, nine hundred ninety billion, eight hundred twenty-two million, nine hundred forty-four thousand".