10411332224 has 64 divisors (see below), whose sum is σ = 21488544000. Its totient is φ = 5018668032.

The previous prime is 10411332223. The next prime is 10411332247. The reversal of 10411332224 is 42223311401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×10411332224³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10411332224.

It is not an unprimeable number, because it can be changed into a prime (10411332223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3112697 + ... + 3116039.

It is an arithmetic number, because the mean of its divisors is an integer number (335758500).

Almost surely, 2^10411332224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10411332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10744272000).

10411332224 is an abundant number, since it is smaller than the sum of its proper divisors (11077211776).

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

10411332224 is an equidigital number, since it uses as much as digits as its factorization.

10411332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225 (or 4213 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10411332224 its reverse (42223311401), we get a palindrome (52634643625).

The spelling of 10411332224 in words is "ten billion, four hundred eleven million, three hundred thirty-two thousand, two hundred twenty-four".