10412241440000 has 180 divisors, whose sum is σ = 26063986682580. Its totient is φ = 4150056960000.

The previous prime is 10412241439969. The next prime is 10412241440059. The reversal of 10412241440000 is 4414221401.

It can be written as a sum of positive squares in 10 ways, for example, as 7728044164096 + 2684197275904 = 2779936^2 + 1638352^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44844206 + ... + 45075794.

Almost surely, 2^{10412241440000} is an apocalyptic number.

10412241440000 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 10412241440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13031993341290).

10412241440000 is an abundant number, since it is smaller than the sum of its proper divisors (15651745242580).

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

10412241440000 is an frugal number, since it uses more digits than its factorization.

10412241440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231906 (or 231877 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 10412241440000 its reverse (4414221401), we get a palindrome (10416655661401).

The spelling of 10412241440000 in words is "ten trillion, four hundred twelve billion, two hundred forty-one million, four hundred forty thousand".