10413411104000 has 144 divisors (see below), whose sum is σ = 25944442379856. Its totient is φ = 4164829184000.

The previous prime is 10413411103999. The next prime is 10413411104053. The reversal of 10413411104000 is 40111431401.

It can be written as a sum of positive squares in 8 ways, for example, as 8772306628864 + 1641104475136 = 2961808^2 + 1281056^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330768260 + ... + 330799740.

It is an arithmetic number, because the mean of its divisors is an integer number (180169738749).

Almost surely, 2^{10413411104000} is an apocalyptic number.

10413411104000 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 10413411104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972221189928).

10413411104000 is an abundant number, since it is smaller than the sum of its proper divisors (15531031275856).

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

10413411104000 is an equidigital number, since it uses as much as digits as its factorization.

10413411104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41849 (or 41825 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10413411104000 its reverse (40111431401), we get a palindrome (10453522535401).

The spelling of 10413411104000 in words is "ten trillion, four hundred thirteen billion, four hundred eleven million, one hundred four thousand".