11442100240 has 40 divisors (see below), whose sum is σ = 28167761880. Its totient is φ = 4307613696.

The previous prime is 11442100213. The next prime is 11442100253. The reversal of 11442100240 is 4200124411.

It can be written as a sum of positive squares in 4 ways, for example, as 181494784 + 11260605456 = 13472^2 + 106116^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4205295 + ... + 4208014.

It is an arithmetic number, because the mean of its divisors is an integer number (704194047).

Almost surely, 2^11442100240 is an apocalyptic number.

11442100240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11442100240 is an abundant number, since it is smaller than the sum of its proper divisors (16725661640).

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

11442100240 is a wasteful number, since it uses less digits than its factorization.

11442100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8413339 (or 8413333 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 11442100240 its reverse (4200124411), we get a palindrome (15642224651).

The spelling of 11442100240 in words is "eleven billion, four hundred forty-two million, one hundred thousand, two hundred forty".