1000241442000 has 120 divisors (see below), whose sum is σ = 3493510005960. Its totient is φ = 266731046400.

The previous prime is 1000241441989. The next prime is 1000241442017. The reversal of 1000241442000 is 2441420001.

1000241442000 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 241 + 4 + 420 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29007539856 + 971233902144 = 170316^2 + 985512^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27766485 + ... + 27802484.

It is an arithmetic number, because the mean of its divisors is an integer number (29112583383).

Almost surely, 2^{1000241442000} is an apocalyptic number.

1000241442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000241442000 is an abundant number, since it is smaller than the sum of its proper divisors (2493268563960).

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

1000241442000 is a wasteful number, since it uses less digits than its factorization.

1000241442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55568998 (or 55568979 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1000241442000 its reverse (2441420001), we get a palindrome (1002682862001).

The spelling of 1000241442000 in words is "one trillion, two hundred forty-one million, four hundred forty-two thousand".