11240413140210 has 128 divisors (see below), whose sum is σ = 28688122771200. Its totient is φ = 2810574259200.

The previous prime is 11240413140179. The next prime is 11240413140211. The reversal of 11240413140210 is 1204131404211.

It is a happy number.

It is a super-3 number, since 3×11240413140210³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11240413140211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170201476 + ... + 170267504.

It is an arithmetic number, because the mean of its divisors is an integer number (224125959150).

Almost surely, 2^{11240413140210} is an apocalyptic number.

11240413140210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11240413140210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14344061385600).

11240413140210 is an abundant number, since it is smaller than the sum of its proper divisors (17447709630990).

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

11240413140210 is a wasteful number, since it uses less digits than its factorization.

11240413140210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69116.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11240413140210 its reverse (1204131404211), we get a palindrome (12444544544421).

The spelling of 11240413140210 in words is "eleven trillion, two hundred forty billion, four hundred thirteen million, one hundred forty thousand, two hundred ten".