11241002410224 has 80 divisors (see below), whose sum is σ = 30051766504320. Its totient is φ = 3617900432640.

The previous prime is 11241002410223. The next prime is 11241002410241. The reversal of 11241002410224 is 42201420014211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11241002410194 and 11241002410203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11241002410223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23925334 + ... + 24390645.

It is an arithmetic number, because the mean of its divisors is an integer number (375647081304).

Almost surely, 2^{11241002410224} is an apocalyptic number.

It is an amenable number.

11241002410224 is an abundant number, since it is smaller than the sum of its proper divisors (18810764094096).

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

11241002410224 is a wasteful number, since it uses less digits than its factorization.

11241002410224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48316158 (or 48316152 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 11241002410224 its reverse (42201420014211), we get a palindrome (53442422424435).

The spelling of 11241002410224 in words is "eleven trillion, two hundred forty-one billion, two million, four hundred ten thousand, two hundred twenty-four".