11301331440 has 160 divisors (see below), whose sum is σ = 40413841920. Its totient is φ = 2558979072.

The previous prime is 11301331429. The next prime is 11301331441. The reversal of 11301331440 is 4413310311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301331441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148326 + ... + 211194.

It is an arithmetic number, because the mean of its divisors is an integer number (252586512).

Almost surely, 2^11301331440 is an apocalyptic number.

11301331440 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 11301331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20206920960).

11301331440 is an abundant number, since it is smaller than the sum of its proper divisors (29112510480).

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

11301331440 is a wasteful number, since it uses less digits than its factorization.

11301331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62999 (or 62993 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11301331440 its reverse (4413310311), we get a palindrome (15714641751).

It can be divided in two parts, 113013 and 31440, that added together give a triangular number (144453 = T₅₃₇).

The spelling of 11301331440 in words is "eleven billion, three hundred one million, three hundred thirty-one thousand, four hundred forty".