10411241440 has 96 divisors (see below), whose sum is σ = 24960610080. Its totient is φ = 4103307264.

The previous prime is 10411241417. The next prime is 10411241441. The reversal of 10411241440 is 4414211401.

It is a super-3 number, since 3×10411241440³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10411241441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3234712 + ... + 3237928.

It is an arithmetic number, because the mean of its divisors is an integer number (260006355).

Almost surely, 2^10411241440 is an apocalyptic number.

10411241440 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 10411241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12480305040).

10411241440 is an abundant number, since it is smaller than the sum of its proper divisors (14549368640).

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

10411241440 is a wasteful number, since it uses less digits than its factorization.

10411241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 10411241440 its reverse (4414211401), we get a palindrome (14825452841).

The spelling of 10411241440 in words is "ten billion, four hundred eleven million, two hundred forty-one thousand, four hundred forty".