11332020240 has 240 divisors, whose sum is σ = 39471045120. Its totient is φ = 2910504960.

The previous prime is 11332020239. The next prime is 11332020263. The reversal of 11332020240 is 4202023311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5199471 + ... + 5201649.

It is an arithmetic number, because the mean of its divisors is an integer number (164462688).

Almost surely, 2^11332020240 is an apocalyptic number.

11332020240 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 11332020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19735522560).

11332020240 is an abundant number, since it is smaller than the sum of its proper divisors (28139024880).

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

11332020240 is a wasteful number, since it uses less digits than its factorization.

11332020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11332020240 its reverse (4202023311), we get a palindrome (15534043551).

The spelling of 11332020240 in words is "eleven billion, three hundred thirty-two million, twenty thousand, two hundred forty".