11003540240 has 320 divisors, whose sum is σ = 32757903360. Its totient is φ = 3338496000.

The previous prime is 11003540231. The next prime is 11003540257. The reversal of 11003540240 is 4204530011.

11003540240 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 (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60792950 + ... + 60793130.

It is an arithmetic number, because the mean of its divisors is an integer number (102368448).

Almost surely, 2^11003540240 is an apocalyptic number.

11003540240 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 11003540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16378951680).

11003540240 is an abundant number, since it is smaller than the sum of its proper divisors (21754363120).

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

11003540240 is a wasteful number, since it uses less digits than its factorization.

11003540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 11003540240 in words is "eleven billion, three million, five hundred forty thousand, two hundred forty".