11918840414208 has 960 divisors, whose sum is σ = 40071123950592. Its totient is φ = 3067839774720.

The previous prime is 11918840414207. The next prime is 11918840414219. The reversal of 11918840414208 is 80241404881911.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11918840414207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56487395223 + ... + 56487395433.

Almost surely, 2^{11918840414208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11918840414208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20035561975296).

11918840414208 is an abundant number, since it is smaller than the sum of its proper divisors (28152283536384).

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

11918840414208 is a wasteful number, since it uses less digits than its factorization.

11918840414208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 51.

The spelling of 11918840414208 in words is "eleven trillion, nine hundred eighteen billion, eight hundred forty million, four hundred fourteen thousand, two hundred eight".