11301530240 has 768 divisors, whose sum is σ = 38705817600. Its totient is φ = 3057500160.

The previous prime is 11301530209. The next prime is 11301530243. The reversal of 11301530240 is 4203510311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11301530243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191551331 + ... + 191551389.

It is an arithmetic number, because the mean of its divisors is an integer number (50398200).

Almost surely, 2^11301530240 is an apocalyptic number.

11301530240 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 11301530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19352908800).

11301530240 is an abundant number, since it is smaller than the sum of its proper divisors (27404287360).

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

11301530240 is a wasteful number, since it uses less digits than its factorization.

11301530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The spelling of 11301530240 in words is "eleven billion, three hundred one million, five hundred thirty thousand, two hundred forty".