10041440240000 has 640 divisors, whose sum is σ = 27992334585600. Its totient is φ = 3561320448000.

The previous prime is 10041440239979. The next prime is 10041440240011. The reversal of 10041440240000 is 4204414001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 79 ways as a sum of consecutive naturals, for example, 6725679254 + ... + 6725680746.

It is an arithmetic number, because the mean of its divisors is an integer number (43738022790).

Almost surely, 2^{10041440240000} is an apocalyptic number.

10041440240000 is a gapful number since it is divisible by the number (10) 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 10041440240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13996167292800).

10041440240000 is an abundant number, since it is smaller than the sum of its proper divisors (17950894345600).

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

10041440240000 is a wasteful number, since it uses less digits than its factorization.

10041440240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10041440240000 its reverse (4204414001), we get a palindrome (10045644654001).

The spelling of 10041440240000 in words is "ten trillion, forty-one billion, four hundred forty million, two hundred forty thousand".