11114575140240 has 3200 divisors, whose sum is σ = 49510031155200. Its totient is φ = 2270840832000.

The previous prime is 11114575140211. The next prime is 11114575140281. The reversal of 11114575140240 is 4204157541111.

11114575140240 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 4 + 575 + 1 + 40 + 2 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11114575140195 and 11114575140204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 84844084975 + ... + 84844085105.

It is an arithmetic number, because the mean of its divisors is an integer number (15471884736).

Almost surely, 2^{11114575140240} is an apocalyptic number.

11114575140240 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 11114575140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24755015577600).

11114575140240 is an abundant number, since it is smaller than the sum of its proper divisors (38395456014960).

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

11114575140240 is a wasteful number, since it uses less digits than its factorization.

11114575140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 11114575140240 in words is "eleven trillion, one hundred fourteen billion, five hundred seventy-five million, one hundred forty thousand, two hundred forty".