11330010342024 has 128 divisors (see below), whose sum is σ = 31476143462400. Its totient is φ = 3369913666560.

The previous prime is 11330010341983. The next prime is 11330010342031. The reversal of 11330010342024 is 42024301003311.

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 = 11330010341985 and 11330010342003.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1229037 + ... + 4916355.

It is an arithmetic number, because the mean of its divisors is an integer number (245907370800).

Almost surely, 2^{11330010342024} 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 11330010342024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15738071731200).

11330010342024 is an abundant number, since it is smaller than the sum of its proper divisors (20146133120376).

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

11330010342024 is a wasteful number, since it uses less digits than its factorization.

11330010342024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687555 (or 3687551 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11330010342024 its reverse (42024301003311), we get a palindrome (53354311345335).

The spelling of 11330010342024 in words is "eleven trillion, three hundred thirty billion, ten million, three hundred forty-two thousand, twenty-four".