11040124241400 has 192 divisors, whose sum is σ = 37592002886400. Its totient is φ = 2667819432960.

The previous prime is 11040124241389. The next prime is 11040124241407. The reversal of 11040124241400 is 414242104011.

11040124241400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11040124241407) 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, 20790669 + ... + 21315068.

It is an arithmetic number, because the mean of its divisors is an integer number (195791681700).

Almost surely, 2^{11040124241400} is an apocalyptic number.

11040124241400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11040124241400 is an abundant number, since it is smaller than the sum of its proper divisors (26551878645000).

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

11040124241400 is a wasteful number, since it uses less digits than its factorization.

11040124241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42105798 (or 42105789 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 11040124241400 its reverse (414242104011), we get a palindrome (11454366345411).

The spelling of 11040124241400 in words is "eleven trillion, forty billion, one hundred twenty-four million, two hundred forty-one thousand, four hundred".