10030041384960 has 384 divisors, whose sum is σ = 32730990364800. Its totient is φ = 2621382328320.

The previous prime is 10030041384949. The next prime is 10030041384977. The reversal of 10030041384960 is 6948314003001.

It is a tau number, because it is divible by the number of its divisors (384).

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 31 ways as a sum of consecutive naturals, for example, 610797550 + ... + 610813970.

It is an arithmetic number, because the mean of its divisors is an integer number (85236954075).

Almost surely, 2^{10030041384960} is an apocalyptic number.

10030041384960 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 10030041384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16365495182400).

10030041384960 is an abundant number, since it is smaller than the sum of its proper divisors (22700948979840).

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

10030041384960 is a wasteful number, since it uses less digits than its factorization.

10030041384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16847 (or 16827 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

Adding to 10030041384960 its reverse (6948314003001), we get a palindrome (16978355387961).

The spelling of 10030041384960 in words is "ten trillion, thirty billion, forty-one million, three hundred eighty-four thousand, nine hundred sixty".