10240410301000 has 512 divisors, whose sum is σ = 27003208826880. Its totient is φ = 3603600000000.

The previous prime is 10240410300983. The next prime is 10240410301003. The reversal of 10240410301000 is 10301404201.

It is not an unprimeable number, because it can be changed into a prime (10240410301003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10333410505 + ... + 10333411495.

It is an arithmetic number, because the mean of its divisors is an integer number (52740642240).

Almost surely, 2^{10240410301000} is an apocalyptic number.

10240410301000 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 10240410301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13501604413440).

10240410301000 is an abundant number, since it is smaller than the sum of its proper divisors (16762798525880).

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

10240410301000 is a wasteful number, since it uses less digits than its factorization.

10240410301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10240410301000 its reverse (10301404201), we get a palindrome (10250711705201).

The spelling of 10240410301000 in words is "ten trillion, two hundred forty billion, four hundred ten million, three hundred one thousand".