11126640100240 has 240 divisors, whose sum is σ = 31576884842880. Its totient is φ = 3628594421760.

The previous prime is 11126640100229. The next prime is 11126640100243. The reversal of 11126640100240 is 4200104662111.

11126640100240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11126640100240³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11126640100199 and 11126640100208.

It is not an unprimeable number, because it can be changed into a prime (11126640100243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15793920 + ... + 16483360.

It is an arithmetic number, because the mean of its divisors is an integer number (131570353512).

Almost surely, 2^{11126640100240} is an apocalyptic number.

11126640100240 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 11126640100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15788442421440).

11126640100240 is an abundant number, since it is smaller than the sum of its proper divisors (20450244742640).

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

11126640100240 is a wasteful number, since it uses less digits than its factorization.

11126640100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689670 (or 689657 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 11126640100240 its reverse (4200104662111), we get a palindrome (15326744762351).

The spelling of 11126640100240 in words is "eleven trillion, one hundred twenty-six billion, six hundred forty million, one hundred thousand, two hundred forty".