10440310241130 has 256 divisors, whose sum is σ = 32433529282560. Its totient is φ = 2087042227200.

The previous prime is 10440310241021. The next prime is 10440310241147. The reversal of 10440310241130 is 3114201304401.

It is a self number, because there is not a number n which added to its sum of digits gives 10440310241130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18274915 + ... + 18837545.

It is an arithmetic number, because the mean of its divisors is an integer number (126693473760).

Almost surely, 2^{10440310241130} is an apocalyptic number.

10440310241130 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 10440310241130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216764641280).

10440310241130 is an abundant number, since it is smaller than the sum of its proper divisors (21993219041430).

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

10440310241130 is a wasteful number, since it uses less digits than its factorization.

10440310241130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562965.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10440310241130 its reverse (3114201304401), we get a palindrome (13554511545531).

The spelling of 10440310241130 in words is "ten trillion, four hundred forty billion, three hundred ten million, two hundred forty-one thousand, one hundred thirty".