10411240340000 has 240 divisors, whose sum is σ = 25794201582072. Its totient is φ = 4135133184000.

The previous prime is 10411240339999. The next prime is 10411240340047. The reversal of 10411240340000 is 4304211401.

It can be written as a sum of positive squares in 20 ways, for example, as 246901659664 + 10164338680336 = 496892^2 + 3188156^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3781778624 + ... + 3781781376.

Almost surely, 2^{10411240340000} is an apocalyptic number.

10411240340000 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 10411240340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12897100791036).

10411240340000 is an abundant number, since it is smaller than the sum of its proper divisors (15382961242072).

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

10411240340000 is a wasteful number, since it uses less digits than its factorization.

10411240340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10411240340000 its reverse (4304211401), we get a palindrome (10415544551401).

The spelling of 10411240340000 in words is "ten trillion, four hundred eleven billion, two hundred forty million, three hundred forty thousand".