11374440480 has 288 divisors, whose sum is σ = 41944921200. Its totient is φ = 2790236160.

The previous prime is 11374440479. The next prime is 11374440491. The reversal of 11374440480 is 8404447311.

It is a happy number.

11374440480 is a `hidden beast` number, since 1 + 137 + 4 + 4 + 40 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 781090704 + 10593349776 = 27948^2 + 102924^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

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, 6532410 + ... + 6534150.

Almost surely, 2^11374440480 is an apocalyptic number.

11374440480 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 11374440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20972460600).

11374440480 is an abundant number, since it is smaller than the sum of its proper divisors (30570480720).

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

11374440480 is a wasteful number, since it uses less digits than its factorization.

11374440480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 11374440480 its reverse (8404447311), we get a palindrome (19778887791).

The spelling of 11374440480 in words is "eleven billion, three hundred seventy-four million, four hundred forty thousand, four hundred eighty".