11032314241240 has 128 divisors (see below), whose sum is σ = 26377130304000. Its totient is φ = 4141039085568.

The previous prime is 11032314241237. The next prime is 11032314241243. The reversal of 11032314241240 is 4214241323011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11032314241237) and next prime (11032314241243).

It is a junction number, because it is equal to n+sod(n) for n = 11032314241199 and 11032314241208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11032314241243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137969191 + ... + 138049129.

It is an arithmetic number, because the mean of its divisors is an integer number (206071330500).

Almost surely, 2^{11032314241240} is an apocalyptic number.

11032314241240 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 11032314241240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13188565152000).

11032314241240 is an abundant number, since it is smaller than the sum of its proper divisors (15344816062760).

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

11032314241240 is a wasteful number, since it uses less digits than its factorization.

11032314241240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81689 (or 81685 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 11032314241240 its reverse (4214241323011), we get a palindrome (15246555564251).

The spelling of 11032314241240 in words is "eleven trillion, thirty-two billion, three hundred fourteen million, two hundred forty-one thousand, two hundred forty".