11440542100240 has 80 divisors (see below), whose sum is σ = 30724279413120. Its totient is φ = 3915479644160.

The previous prime is 11440542100237. The next prime is 11440542100243. The reversal of 11440542100240 is 4200124504411.

It is a happy number.

11440542100240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11440542100237) and next prime (11440542100243).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11440542100199 and 11440542100208.

It is not an unprimeable number, because it can be changed into a prime (11440542100243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382356100 + ... + 382386019.

It is an arithmetic number, because the mean of its divisors is an integer number (384053492664).

Almost surely, 2^{11440542100240} is an apocalyptic number.

11440542100240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11440542100240 is an abundant number, since it is smaller than the sum of its proper divisors (19283737312880).

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

11440542100240 is a wasteful number, since it uses less digits than its factorization.

11440542100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764742160 (or 764742154 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 11440542100240 its reverse (4200124504411), we get a palindrome (15640666604651).

The spelling of 11440542100240 in words is "eleven trillion, four hundred forty billion, five hundred forty-two million, one hundred thousand, two hundred forty".