11424240331040 has 288 divisors, whose sum is σ = 29873304014400. Its totient is φ = 4122641940480.

The previous prime is 11424240331013. The next prime is 11424240331051. The reversal of 11424240331040 is 4013304242411.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 11424240330994 and 11424240331012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186362795 + ... + 186424085.

It is an arithmetic number, because the mean of its divisors is an integer number (103726750050).

Almost surely, 2^{11424240331040} is an apocalyptic number.

11424240331040 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 11424240331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14936652007200).

11424240331040 is an abundant number, since it is smaller than the sum of its proper divisors (18449063683360).

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

11424240331040 is a wasteful number, since it uses less digits than its factorization.

11424240331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61508 (or 61483 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 11424240331040 its reverse (4013304242411), we get a palindrome (15437544573451).

The spelling of 11424240331040 in words is "eleven trillion, four hundred twenty-four billion, two hundred forty million, three hundred thirty-one thousand, forty".