11042718474240 has 448 divisors, whose sum is σ = 39496356587520. Its totient is φ = 2927042887680.

The previous prime is 11042718474239. The next prime is 11042718474251. The reversal of 11042718474240 is 4247481724011.

11042718474240 is a `hidden beast` number, since 1 + 1 + 0 + 42 + 7 + 184 + 7 + 424 + 0 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184658745 + ... + 184718535.

It is an arithmetic number, because the mean of its divisors is an integer number (88161510240).

Almost surely, 2^{11042718474240} is an apocalyptic number.

11042718474240 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 11042718474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19748178293760).

11042718474240 is an abundant number, since it is smaller than the sum of its proper divisors (28453638113280).

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

11042718474240 is an equidigital number, since it uses as much as digits as its factorization.

11042718474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59998 (or 59968 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 11042718474240 in words is "eleven trillion, forty-two billion, seven hundred eighteen million, four hundred seventy-four thousand, two hundred forty".