10130312441040 has 320 divisors, whose sum is σ = 34498729654272. Its totient is φ = 2438665574400.

The previous prime is 10130312441033. The next prime is 10130312441063. The reversal of 10130312441040 is 4014421303101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10130312441040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532296325 + ... + 532315355.

Almost surely, 2^{10130312441040} is an apocalyptic number.

10130312441040 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 10130312441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17249364827136).

10130312441040 is an abundant number, since it is smaller than the sum of its proper divisors (24368417213232).

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

10130312441040 is a wasteful number, since it uses less digits than its factorization.

10130312441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20458 (or 20452 counting only the distinct ones).

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

Adding to 10130312441040 its reverse (4014421303101), we get a palindrome (14144733744141).

The spelling of 10130312441040 in words is "ten trillion, one hundred thirty billion, three hundred twelve million, four hundred forty-one thousand, forty".