10241400330 has 288 divisors, whose sum is σ = 32808672000. Its totient is φ = 2215273536.

The previous prime is 10241400289. The next prime is 10241400331. The reversal of 10241400330 is 3300414201.

10241400330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10241400331) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 11143611 + ... + 11144529.

It is an arithmetic number, because the mean of its divisors is an integer number (113919000).

Almost surely, 2^10241400330 is an apocalyptic number.

10241400330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10241400330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16404336000).

10241400330 is an abundant number, since it is smaller than the sum of its proper divisors (22567271670).

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

10241400330 is a wasteful number, since it uses less digits than its factorization.

10241400330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10241400330 its reverse (3300414201), we get a palindrome (13541814531).

The spelling of 10241400330 in words is "ten billion, two hundred forty-one million, four hundred thousand, three hundred thirty".