11240466474240 has 432 divisors, whose sum is σ = 40427969400000. Its totient is φ = 2990269218816.

The previous prime is 11240466474197. The next prime is 11240466474271. The reversal of 11240466474240 is 4247466404211.

11240466474240 is a `hidden beast` number, since 1 + 1 + 240 + 46 + 64 + 74 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 130282636 + ... + 130368884.

It is an arithmetic number, because the mean of its divisors is an integer number (93583262500).

Almost surely, 2^{11240466474240} is an apocalyptic number.

11240466474240 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 11240466474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20213984700000).

11240466474240 is an abundant number, since it is smaller than the sum of its proper divisors (29187502925760).

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

11240466474240 is an frugal number, since it uses more digits than its factorization.

11240466474240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86704 (or 86678 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 11240466474240 in words is "eleven trillion, two hundred forty billion, four hundred sixty-six million, four hundred seventy-four thousand, two hundred forty".