11418175440 has 480 divisors, whose sum is σ = 45727358976. Its totient is φ = 2498411520.

The previous prime is 11418175421. The next prime is 11418175451. The reversal of 11418175440 is 4457181411.

It is a happy number.

11418175440 is a `hidden beast` number, since 1 + 1 + 41 + 8 + 175 + 440 = 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 = 11418175395 and 11418175404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16717339 + ... + 16718021.

Almost surely, 2^11418175440 is an apocalyptic number.

11418175440 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 11418175440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22863679488).

11418175440 is an abundant number, since it is smaller than the sum of its proper divisors (34309183536).

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

11418175440 is a wasteful number, since it uses less digits than its factorization.

11418175440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 11418175440 in words is "eleven billion, four hundred eighteen million, one hundred seventy-five thousand, four hundred forty".