11185390440 has 640 divisors, whose sum is σ = 45852998400. Its totient is φ = 2388787200.

The previous prime is 11185390423. The next prime is 11185390453. The reversal of 11185390440 is 4409358111.

11185390440 is a `hidden beast` number, since 1 + 1 + 185 + 39 + 0 + 440 = 666.

It is a super-2 number, since 2×11185390440² (a number of 21 digits) contains 22 as substring.

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 = 11185390395 and 11185390404.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43522792 + ... + 43523048.

It is an arithmetic number, because the mean of its divisors is an integer number (71645310).

Almost surely, 2^11185390440 is an apocalyptic number.

11185390440 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 11185390440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22926499200).

11185390440 is an abundant number, since it is smaller than the sum of its proper divisors (34667607960).

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

11185390440 is a wasteful number, since it uses less digits than its factorization.

11185390440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11185390440 in words is "eleven billion, one hundred eighty-five million, three hundred ninety thousand, four hundred forty".